It obviously doesn't eliminate luck; but the person who doesn't understand strategy isn't going to do well either.
Also, that's all well and good for heads up play, but if you're at a full table, playing tighter for one person at the table is just going to see you winning a lot of nothing. (Players paying attention will just skip hands where you bite.)
A master swordman does not fear novices precisely because they know their movements before they do. They look at (imperceptible for amateurs) body language hints and know exactly what you are going to do before you do it.
In reality there are physics constraints. Before you do a movement, you need to put weight in some part of the body, tense a muscle....e.g it is impossible to jump without a specific movement of going down and preloading.
Not only that , they know exactly what is the best response to it to neutralize whatever comes to them.
>"But don't you know, there are some things that can beat smartness and foresight? Awkwardness and stupidity can. The best swordsman in the world doesn't need to fear the second best swordsman in the world; no, the person for him to be afraid of is some ignorant antagonist who has never had a sword in his hand before; he doesn't do the thing he ought to do, and so the expert isn't prepared for him; he does the thing he ought not to do: and often it catches the expert out and ends him on the spot."
I played SSBB (Super Smash Bros. Brawl) competitively. I'd occasionally drop games to the worst players because they would choose one of several of the worst possible options available to them at any given time. I keep expecting them to react the "proper" way and so it would throw off my reads. Thankfully sets are best of 3.
SSBB is a game entirely based on reads due to the characteristic lack of combos and "neutral position" being popular since there aren't many scenarios where you can build momentum in a favored position (unlike the more popular SSBM (Super Smash Bros. Melee) which has combos that allow you to create favored positions to keep momentum.