Of course there are many great players who got fed ice time early in their careers, mostly because they were on bad teams who didn't have better options, but also because they were producing. And when I say producing, they were driving play, not just riding shotgun to good players and leeching points.
There are also examples of players who didn't get a ton of ice time early, like Svechnikov, Seguin, Stamkos, Zibanejad, Marchand, Pastrnak.
None of these examples prove or disprove my statement. They are simply anecdotal evidence that great players find a way to be great. We will never know if they would have been better or worse by playing less minutes on a better team, or if they would have achieved the same level more or less quickly. When I make that statement, I look at teams like the Islanders, Sabres and Oilers. The Islanders were terrible with Tavares and didn't really start winning until he left. I'm not saying he was the reason they were bad, but him being great was irrelevant. His team didn't magically become better because of it. The same is true of guys like McDavid, Draisaitl and Eichel. Ovechkin has been a beast his entire career and has never had to worry about his ice time, but it wasn't until Trotz came along and got them to play with more defensive structure that the actually won a cup. Pittsburgh won 2 cups recently by playing strong defensive structure and having a great 3rd line.
You can also look at a team like Toronto. For years now, they've had plenty of players who score a lot, including Tavares, but they haven't won anything. Now they are trying to become better defensively and they are trying to teach players who are used to playing run and gun to play with more structure. Can that work? Sure. Tampa just did it, but even then it took them a long time to get over the hump, just like it did with Washington.
I'd rather have the kids learn the right way from the start, than to be force fed minutes where they cheat for offense and/or get gifted points by playing with better players. If that means it takes longer for them to break out offensively, that's fine. If nothing else, their contract demands will be lower.