I never played BioShock 2 or Infinite, but I watched full playthroughs of each, and I thought infinite was great! Different to be sure in most ways, but it was a neat expansion of the world and themes hinted at in the first two games.
I seem to remember a lot of sideline criticism when it came out that boiled down to “NPC sidekick not love interest but hot so I don’t like game”. I thought, and think that is ridiculous, and fortunately I think that criticism has faded with time because Elizabeth is such a positive part of the game, from my view.