Lyxen
Great Old One
I think the mistake you're making here is in thinking that alignment in 4e is meaningful in any metaphysical sense other than "this is the team that I'm on".
And the mistake you are making is restricting alignment to this, because it's the very bizarre and unique 4e view, which is also (at least for me) one reason it failed, it reduced most things to "teams".
It really isn't. It's a much more Moorcockian take on alignment, which is unfortunately cluttered up by putting "good" and "evil" into it for sacred cow reasons. (4e alignment is IMO best played by removing the words "Good" and "Evil" from it entirely and just having the Law/Unaligned/Chaos axis. Leaving Good and Evil to be personal morality rather than metaphysical reality. That fits with how the setting is described much more - both in the outer planes and even in the Mortal World - but of course they had to leave the Good/Evil axis in for reasons.)
I absolutely don't agree, Law and Chaos (for example in Moorcok) are not only about teams, they are also their deep-rooted fundamental principles totally at odd with each other which, by the way, prevents "modern" solution of negotiation.
Whenever I've created universes (whether for TTRPG or LARPs, including universes that have seen more than 100 occurences of play, sometimes with 250+ players), I've strived to give greater meaning for reasons of conflict, because conflict drives drama. In a high fantasy world, the last thing that you want is people sitting down to resolve their differences, because then you have no story, no heroics, nothing epic. So you have to create conflicts that mean something, whether it's good vs. evil, law vs. chaos, light v.s dark, tyranny vs. freedom, Harmony vs. Dispersion (the one that we used in our most successful LARP universe), War of the Gods (the one that we used in our second most played LARP Universe), Fate vs. Luck, etc.
Just creating artificial teams does not cut it, it works best when there are principles below that the characters can relate to, that they can build history upon, etc.