To be honest, I don't really care very much about th--nowaitWAIT I have an actual reason to be in this thread!
Platinum trophies in themselves are odd to me. On the one hand, I like how you can use them as easy ways of saying you've achieved all there is to achieve in a game (setting aside for the moment that often this isn't technically true). You can look at your Platinum trophy count and know exactly what that means. On the other hand, it's not like you couldn't also point to the number of 1000/1000 games you have on Xbox Live, or the number of 100% games on Steam. You can even have the number of Perfect Games show up on your profile.
The OP spends a lot of time on how the number of achievements and their individual worth is not up to par with Xbox Live. I understand the criticism, but to me it doesn't really matter because we're talking about an arbitrary number of slices of an arbitrarily sized pie of "gamer points" or what have you. The problem is that by giving people an artificial aggregate of their total achievements or trophies (Xbox has its gamerscore, PSN has its leveling system), both services require that achievement standards be maintained to an extent across all its games. Thus a small game can't be seen as "equal" to a large game, but the split between "small" and "large" is too simplistic.
So while on some level I think I actually agree with the OP, in that the way the Xbox One handles achievements is better, on the other hand my solution would be more drastic and in the opposite direction. Instead of trying to make sure every game meets some arbitrary level of "achievement points," just throw away the concept altogether like Steam has. All there is is the number of achievements you have. No one achievement is "worth" any more than the others, and no game has to have a minimum or maximum number of them.
Yes, it means you can't have an Xbox gamerscore anymore, but honestly, who cares? The single biggest innovation to achievements I've seen in the last few years is showing the relative rarity of an achievement. That's the only achievement metric I care about and it's the only real metric Steam highlights besides # of achievements and # of perfect games. PSN moving to show trophy rarity is fantastic, and I'd much rather have that sort of thing rolled out across all platforms than hand-wringing over more games getting platinum trophies.