Does Puzzle Rating Mean Anything?

I've seen lots of low rated players w/ a high puzzle rating 

I recently understood, that puzzle rating are always higher. I'm 1400 in rapid, but 2100 in puzzles !

I don't think the puzzles get harder as you go up in rating. I think they are just puzzles.

I think puzzles are generally 500-700 above the person's rating.

Just a rough estimate though.

Puzzle don't teach you how to create puzzle. I think they are only necessary for rank beginner. I can safely say i learn nothing from puzzle except elimentary tactics and mate. My puzzle rating is above 2100. 

The average ratings does go up with you I have been getting puzzles rated 2000+ while I am around that level.

Yes, of course it means something.

Do the official engine ratings mean nothing? They're highly inflated (I assume for the purpose of marketing products to idiots who don't understand very basic logic and/or maths) when compared to FIDE ratings for humans. Does that mean that they don't mean anything? Of course not.

If chess.com strangely decided to add 1000 points to the rapid rating of every single account on the site, would the rapid ratings all then become meaningless? No, of course not. Nothing at all will have changed.

Does a 2000 puzzle rating correspond to a 2000 rapid rating or a 2000 blitz rating? No, absolutely not. Does that in any way make the puzzle rating any more worthless, than if it did? No, absolutely not.

How meaningful a puzzle rating is, with regards to somebody's chess ability, is debateable. How meaningful a puzzle rating is, with regards to somebody's tactical ability in chess, is also debateable. There are definitely correlations, but is the rating really very meaningful? I would argue that it is fairly meaningful in both regards. Some people might not.

However, your OP seems fixated on the inflation of the rating when compared to others, which is clearly meaningless and in no way devalues the puzzle rating.