It's actually more subtle. Yes, chess is very tactical but the way you approach tactics in a puzzle is very different from how you mentally approach tactics in a game of chess.

If you already know that there is a tactic in the position your entire frame of reference changes. Which is actually why puzzle composition is treated very differently from actually playing, and a lot of famous composers are not particularly strong players.

This is why I feel it compares well to coding competitions. It looks so similar, but the mindset is very different. And only looking at tactics, just like only looking at coding as a game problem is I think why it may damage your performance at work.