That was standard practice back in the day and for many decades before that: One sailor served as the "helmsman" doing the steering and another as the "lee helmsman" transmitting speed orders to the engine room, each as ordered by the conning officer. (Former aircraft-carrier bridge officer here.)
Example: Conning officer: "Right standard rudder, steady on course 090." Helmsman: "Right standard rudder aye, sir [or ma'am]. Sir, my rudder is right standard." Conning officer: "Very well." Helmsman: "Sir, steady on course 090." Conning officer: "Very well." Conning officer: "All engines ahead standard, make turns for 15 knots." Lee helmsman: [Repeats back the order in the same way; rings up "ahead standard" on the engine-order telegraph [0]; and verbally tells the engine room over a sound-powered telephone [1].] Lee helmsman: "Sir, engine room acknowledges all engines ahead standard, make turns for 15 knots." Conning officer: "Very well." The quartermaster on the bridge records the orders in the ship's log, and the watch officer in the engine room does the same for the engine room log.
Don't know how they do things now.
CVN CDCWO / TOPWO here.
So much so that the military even tried to do this with aircraft cockpits, until it was obviously unworkable. The "hotshot young maverick pilot" archetype was allowed to form because they physically couldn't help it.
At least, this is the story told in The Right Stuff.
It's interesting you mention this. My uncle and cousins have been sailing for years on Lake Superior. They navigated some of the largest races on the lake for decades, including the Trans Superior in every imaginable weather conditions. They are, IMHO incredibly experienced sailors.
I just sent this very article to them and my uncle responded within the hour about how having two people doing these in tandem was a recipe for disaster because of the very issue you pointed out. He said you should have one capable person who should be able to do both since it can be a delicate balancing act. Too much speed and over correction with steering can have disastrous results.
The reason for this is that the people making the decisions have more important shit to worry about. Things are different when your primary concerns are getting shot at and shooting back. In war time it's not atypical to get your engine or rudder shot out, and if you have someone who has one job - to set the rudder - he'll notice and diagnose it a lot faster than someone who's tasked with avoiding incoming fire, bearing weapons on the enemy, etc. Distribution of responsibilities is incredibly important in war. Combat tends to break down careful, considered decision making.
Also keep in mind most of these people aren't seasoned. This dude was just out of high school. Information overload is a thing.
The two driving are under the command of someone senior to them (the conning officer) who gives direction to both and is responsible for ensuring the ship is being driven correctly.
See this 1941 British Navy training film:
Especially on a ship that might have to spring from "situation normal" to active combat (maneuver/attack/defend all at once) without a pre-knowable trigger condition.
I've not controlled anything that floats bigger than a small fishing boat, and I realise the timescales of reaction here are much larger, but that just sounds wrong to me --- changes in speed can affect direction, and vice-versa. Splitting that to two separate brains that are communicating only via a low-bandwidth voice channel seems like a recipe for disaster.