Good idea!
Please allow us to downvote puzzles (not just down/upvote tags)
This is about the subject of exam calibration. The democratic method will lead to people massively up-voting the puzzles they solved comfortably and down-voting the ones that caused them trouble. People can't (in general) judge objectively on their examination material. Which is natural as the puzzles were made to examine them - not to examine the puzzles. About 50 years ago this approach led to the degradation of much study material on many universities after student rebellions.
There is however a recognized scientific method to evaluate and locate the puzzles which are possibly off-standard. It needs no voting but simply assesses the consistency between the expected individual solving scores and the actual individual solving scores. You expect solvers with a higher puzzle rating to have better average scores on any puzzle than lower rated solvers. If such is is not case or they are too close. it is time to call in the quality control squad. Not to automatically eliminate the puzzle (would I suggest) but to have human chess experts study it and come to a decision on its continued use. Perhaps with an update for a dubious element!

Another puzzle I'd like to downvote is #770878. After my first move, I had to figure out how to get out of check, and no alternative option keeps Black from following through and winning. Because I wasn't psychic, I lost 11 points on this puzzle, when I should have gotten more.
((A few minutes later)) I now see why the alternatives won't work. It's still a dirty trick to take points away; at worst, I should have broken even.
Perfect example of a tactics problem that should be removed: problem #996734. Please allow us to down-vote the actual tactics puzzle if we think it is a bad problem. All we can currently do is just down-vote the tag of the problem, which will just change the tags but not remove the problem. I would like for the community to at least have some say and some tactics be looked at if the community thinks they are bad problems.
Bad problems include problems with a one-move solution that only has a material advantage 15 moves later with a 3000 engine holding your hand through the moves (see above problem). Other ones would include tactics that have multiple winning solutions but one win is a higher centi-pawn than another. I did a problem a week or so ago whereby there were two possible moves both ending with +4 centi-pawn for white, and one of the solutions was like +8 the other was +4. It's obvious given the position that +4 was enough for a clean victory with even mediocre play.
TLDR; Please let the community have it's say on tactics problems we don't think are good puzzles.