One thing Lautaro also has, is a very good first touch. He accelerates our play just by the way he touches the ball. And I also mean one touch shots (mostly those). He fairly often tries to one time a ball when he receives it, like volleys and he's pretty good at them. It lowers the chance for the opponents to react to it.
Lukaku (as an example) probably never first time shot a ball into goal and always took an extra touch to control it.
Lautaro doesn't hesitate. If most strikers need "x"-actions to do something, he'll do it in x-1, if that makes sense. I like that about him and as the team play gets better, this will almost inevitably result in more goals when the players read each other more and more.
Lautaro doesn't have the best finishing nor is he extremely fast or a good dribbler. He's pretty much a jack-of-all trades type of striker but a master of few. If he were to improve even just his finishing, he would shoot up the ranks a lot, as it suits his quick, off the ball play-style well. As Brehme pointed out, it's hard. There's a limit to what you can teach to a player on how to become a better finisher. Like, if Lautaro's problem was that most of his shots go too centrally, a positional coach could point that out and tell him where to shoot in different situations. But in the end understanding the collectivity of how to strike a ball, when to strike it and where to place it is something that's mostly dependant on what's in you and very often a mental thing.
If he cannot improve it, Lautaro will likely always be best paired with a more clinical striker, advanced forward or poacher (which is neither Dzeko nor Correa, but yeah).
I'm not sure how good his long distance shots really are, but I'm of the opinion that Lautaro could actually really excell in a very offensive AM role. Shadow Striker type. In our 2 striker systems you can already see some of it, but we won't effectively see it unless he's the pivot behind 2 other strikers OR we use a striker that really stays forward all the time.