+1 for the above. I have been studying a lot of old clips of elite players like Bure, Coffe, Lemieux, Orr etc etc and none of then did lateral cross overs. They would beat a player with a step or shimmy and then with their speed they would "glide" around them. Today it's all about generating speed every single time your blade hits the ice. The technology in boots today is one of the big factors that enables this to happen.
ps - a great example of this is the empty netter McDavid scored against the Canucks last night. As he approaches the D he does a lateral crossover to the right to sell the fake on the D who bites hard, then a drive off the right foot and 2 immediate lateral crossovers on his left edges to get HUGE separation (from the D if the D didn't bite) and then an instant transition onto his right edges for a couple more lateral crossovers to drive around the D (who by this stage isn't even in the frame lol, McDavid just does them because that is part of the move). And this where, imho, McDavid is rewriting the play book atm. Even if the D didn't bite, this move is next to impossible to defend against, the speed he approaches at, the separation he obtains with the move and then the way he accelerates! around you. I don't care how good you are as a D, when he pulls this on you you are screwed.
https://www.nhl.com/video/mcdavid-scores-empty-net-goal/t-277350912/c-7637131