I would actually agree with the premise that the edition 5E is most like is 2E. It's one I've advanced myself.
As
@Reynard correctly says, they have very similar tones/genres (High Fantasy Adventure, which isn't quite what 3E and 4E were about), and they both present fairly simple and straightforward "cleaned up" rules-sets.
Further, for my money, 5E's rules feel like what 3E could have been with a different (better, sorry but genuinely better) design team. There are elements obviously derived from 3E and 4E, but the rules, again, to me, don't feel like they're really extending from either, as much as reconsidering D&D, which ends up in a place more similar to 2E.