See, the inverse sounds logical to me. I find it easy to conclude that one reason 5e is so popular is because it has fewer options: the option bloat of 3e, Pathfinder, 4e drove people away.
Ahh, well, I wasn't considering between editions. That's true. But, since we're talking within an edition, that's neither here nor there. IOW, it's not just one thing when you start going between editions.
Um...no homebrew, no rolled attributes, no Unearthed Arcana, no special snowflake exceptions...those sounds like restrictions to me.
But, none of those things are actually part of the game you just bought. All of those are additions, and other than Unearthed Arcana, not even from WotC. To add to that, the UA stuff DOES make its way into AL, just slowly. After all, you can play SCAG classes and Volo races in AL right now and I'm pretty sure that when Xanathar's hits the shelves, that stuff will be allowed as well.
I'd also point out that restricting playtest material is somewhat different from excising a large chunk of the PHB.
IOW, while it might be restricted right now, there's certainly the knowledge that as soon as the material hits the shelves, I can use it. While in a restricted home game, there is very, very little chance that these restrictions will change.