I expect stick would have the problem of not killing. A sword can easily stab someone dead or maim and any hit is (significant) bleeding. A hammer could bludgeon someone dead in a hit.
But a staff? I don't know about that. Yes you can hit somebody in a duel from afar and keep your distance, yet you hit them 5 times and they keep coming at you.
In "Paradoxes of Defense" Silver talks about both:
a) He believes that dueling traditions adopted from other cultures are wasteful of English life and limb and provide little or no training for use on the battlefield. It was important that each well-bodied Englishman be able to serve his country in a war. Once war was declared, there was scant time for training with new weapons and the dueling skills were not very useful.
b) He discusses most weapons and considers their use in one-on-one, one-on-two and battle situations.
user5994461 says "I expect stick would have the problem of not killing."
Many have been killed/wounded by a "stick"(AKA rolling pin, tire tool, baseball bat, 2x4, flashlight, etc.). But "sticks" per se vary from a short stick, e.g., police baton, to a short staff, e.g., 1-2 inch diameter by ~1 meter length, to a longer staff (maybe ~3 meters and longer). Sizes differ for different cultures. Some "sticks" have lead/iron weights in them. Some are wrapped with metal.
A larger weapon is usually capable of dealing harder blows. "Sticks" kill by breaking heads and bones (ribs, shins, arms and legs, the neck, eyes, throat), etc. Usually they disable immediately (hard to fight with a broken leg or if your larynx has been crushed). It would be foolish to fight with a broken arm or missing eye if one could simply play dead.
user5994461 says "...yet you hit them 5 times and they keep coming at you."
You need a bigger stick or some exercise. Oh, and don't mess with those Orcs!8-))
Silver(author of Paradoxes of Defense) was likely more familiar with this than you or I. I don't doubt his experience.
An English nursery rhyme:
Sticks and stones
may break my bones
But words shall never hurt me.
One challenge with all these examples is that they are used because they are handy not because they are efficient. The police baton is perfect example of something used to NOT kill (manifestations would be terribly bloody if the police was responding with swords or daggers), it's better than nothing but you don't want to go to battle with that.
If we're talking medieval fighting the other party has significant padding if not a gambeson, and they're not waiting idle to get your best hit. If training with wood weapons is any indication, the one with a stick variant loose everytime, they can hit but they get closed upon anyway and stabbed/slashed.
If you make the (long) stick a spear, a tip that can cut and stab, it's a great weapon. You'd certainly want to have a spear not just a long stick.
A wood mock up of a sword would, of course, not be as useful against an iron sword (especially if deployed in a sword-like manner) as would a 6-foot staff of hickory. What kind of "wood weapon" are you speaking of? Are you speaking in the context of some "dojo" or some style of martial art?
One problem with dojo drills is that the opponent must "hold back" due to possibility of injury. Also, in a dojo, only one style (e.g., use of the rapier) is usually being taught: not unsurprisingly all other styles somehow fail to measure up. There are many reasons for this: unskilled users, absence of in-house expert ("sensei", "master", etc.) in the opposing style, the power of suggestion.
Don't confuse choreographed drills in a dojo with a real fight/battle. Some dojos sell the belief that their weapon of choice (longsword, rapier, long staff, Klingon Bat'Leth, short staff, firearm, knife, bare hands, etc.) is the "one and true" weapon that will protect you against all comers. But they'can't all be dominant in all situations and that is part of what Silvers' "Paradoxes of Defense" says.
In a real fight the pole cracks skulls, breaks legs and arms and is thrust into mouths, noses, eyes and necks before an opponent's blade can reach the poler. A "stick", as you call it, can be as long but is likely quicker than the sword, cannot be easily damaged by the sword and as Silvers summarizes, is superior in battle.
Pictures of men wearing gambesons show exposed faces and limbs. The gambeson likely lowers mobility (and might be uncomfortably warm). It resembles a bulletproof vest, most which spend their time in the closet. And, as you may know, a man with a knife can make short work of a man in or out of a bulletproof vest (there are gaps).
Take for example the Bo that can easily break bones and can bend even a Katana with a proper strike.
Even pool cues will kill when used in bar fights.
Yes, and even inferior to the staff. Here is a (1599!) plea to Englishmen to cease wastefully killing each other in duels (esp. with Italian mores/swords/styles) b/c those swords/styles are unsuited to generalized warfare (and thus provide no useful training for the common defense) and also are inferior to other more common weapons/styles, esp. the short staff, in single combat:
"Now for the vantage of the short staff against the sword and buckler, sword & target, two handed sword, single sword, sword and dagger, or rapier and poniard, there is no great question ... the short staff has the vantage against the battle axe, black bill, or halberd: the short staff has the advantage, by reason of the nimbleness and length: he will strike and thrust freely, and in better and swifter time than can the battle axe, black bill, or halberd, and by reason of his judgement, distance and time, fight safe. And this resolve upon, the short staff is the best weapon against all manner of weapons, the forest bill excepted...Also the short staff has advantage against two swords and daggers, or two rapiers, poniards and gauntlets(19)...
From George Silver's Paradoxes of Defense:
http://www.pbm.com/~lindahl/paradoxes.html
wherein Silver analyzes the interaction of various weapons in great detail, underscores the advantages of the short staff in most situations and in doing so presages Theodore Roosevelt:
"I have always been fond of the West African proverb: 'Speak softly and carry a big stick: you will go far!'"
https://www.phrases.org.uk/meanings/speak-softly-and-carry-a...