I think you can always learn tactics solving puzzles, but that doesn't mean if I am 2200 rating in puzzles I should be 1200 in rapid. Facing a puzzle is completely different from when you face an actual game. When you are doing puzzles you know that mostly there is a way where you can create a big advantage, while real chess situations are not that obvious.
And of course, the time management changes it all. Rapid games normally are 10min, and I personally can spend more than 15 minutes trying to solve a single puzzle (and even so I still fail sometimes xD).
By the way, how much time do you spend solving a single puzzle??? Do you try to target the time bonus?? 90%+ of the time I can't get it.
Solving puzzles and finding/creating tactics in an actual game are two totally different things. Puzzle rating doesn't mean much imo.
It means at least something. It means that you recognize a lot of useful patterns. You still have to find them in the games, but without knowing the patterns it is difficult, actually mostly impossible.