No. It's faster and that's all. So call it by that word which is very precise.
If you say 'power' = 'speed' then you've destroyed the meaning of one of those words, just for the modern habit of co-opting a fancier word for a simpler one. I'd prefer people didn't do that, and differentiated 'speed' from a thing you call power which indicates "I can't do that at all, at any speed".
If you don't like bullshit marketing and PR, don't follow it.
Again, I fully acknowledge this is nitpicky to the point of absurdity and we're arguing semantics. But if we're gonna argue semantics, then the definitional meaning of power is on my side.
For "how much crap do I have to write to get it to do something", I call that expressivity. Scala is more expressive than fractran (I guess...).
I would just caution that it's fairly idiosyncratic - plenty of people out there don't use the word "power" the way you do. For example, here is how Paul Graham talks about the "power" of programming languages: http://www.paulgraham.com/avg.html
Just saying, as consistent as your definitions are internally, being too rigid about it may hinder your ability to communicate with others in the field. Good luck buddy <3
You can do all your text entry by clicking keys on an on-screen keyboard if you like, but saying that a physical keyboard is a more "powerful" way to enter text seems reasonable to me.
(sorry in advance, I know this is needlessly "well ackchually" lol)