Are check my work question discouraged on this site?

So here are two basically the same question with one asking to answer the problem and other to what went wrong with my approach.

What is wrong with this solution of find the least value of $ \sec^6 x +\csc^6 x + \sec^6 x\csc^6 x$

Find the least value of $ \sec^6 x +\csc^6 x + \sec^6 x\csc^6 x$

The check my work question has a total score 2 with around 3 down votes and was also closed as duplicate (later reopened on request) while answer the problem question has a total score 5 with 0-1 down votes. Clearly check my work question are discouraged on this site or may be I just asked a bad question?