That could be because since you have more time, you can play better moves that are discovered. Maybe play more rapid games, 10, 15, and 30 min matches. This will greatly help with quick learning as you will pick up on patterns. Also learning to play faster in 5 min blitz will help as long as you analyse. If you can learn to play within your restraints then that is the first step to playing better.
2000 puzzle rating vs 600 rating everywhere else
Also nice pfp
> wondering if my puzzle rating being over a thousand higher than my blitz, rapid and bullet ratings is weird or an anomaly
No, it's normal. Note that puzzle ratings don't work the same as player ratings, and if you put time and patience into them you can get that rating very high. Check out the puzzle leaderboards (https://www.chess.com/leaderboard/tactics) and you'll see the top players on 65K rating, obviously showing there's no upper limit as they would be with normal playing ratings.
> any advice to transfer my puzzles knowledge to in game strategy
As said, your current difference in puzzle/live chess ratings may just be normal (nothing to "transfer"), but of course there are many other aspects of chess that impact your rating (opening knowledge, endgame technique, general decision making, etc) besides the tactical skills you train with puzzles. To put it bluntly, it doesn't matter to find a tactic that wins you material if you will spoil the arising endgame.
Note that live chess ratings measure performance (how much you win/lose and against who) rather than strength, and it may take time for your ratings to reflect your own chess growing. So don't get too worried about the rating itself. As long as you feel you're learning, you're probably learning.
> The puzzles here are too easy. Try chesstempo
Chesstempo is a great site for puzzles, but it's not true that puzzles here are too easy. They adapt to your level, and you also have a variety of tools around puzzles that meets most players' needs. Custom puzzles by theme and rating are not worse than chesstempo :-)
i was wondering if my puzzle rating being over a thousand higher than my blitz, rapid and bullet ratings is weird or an anomaly. i struggle really badly in playing chess vs someone when in time restraint whereas i can complete a puzzle when i can sit down and actually spend my time, any advice to transfer my puzzles knowledge to in game strategy?