I didn’t make it clear, In all situations hand 1 has better odds. Among these odds which one is better.
Answer and the interesting thing to note is in all situations hand 1’s odds are just about the same, around 82/18%, irrespective of whether KK or 44 is called against AA. Similarly AA vs 44 or 44 vs 22 the odds are about the same. Except a small variation (about two percent) in straight draws and blockers as @MekonKing pointed out.
This is because only way hand 2 can win is by drawing a set, set then full house or four of a kind. That is two outs of the same card in all cases.