I think this is why you have to be playing a few puzzle games "at the same time" - so when you get blocked/stuck in one, you can work on another.

I will admit that sometimes once I figure out "the trick" to the puzzle, I'll cheat and grab the solution rather than working it out by hand.

A little different than what you're saying, but you reminded me of an experience I had with Inside - which I enjoyed a lot overall, but -

There were a number of puzzles involving pushing boxes around, and something that really irritated me was that I would understand the solution but then have to go implement it by moving around and doing the pushing with somewhat clunky controls.

It was sort of interesting from a gameplay perspective - that feeling of "eureka" followed by "dammit, now I've gotta do this schlep work".