Shouldn’t that be,
“Does anybody check what they have written……”
You've revived this weeks old thread just to try and be clever. Which you aren't by the way.
To say "Does anybody check what they have written", as 'anybody = any person', is a question that requires an answer.
To say "Does nobody check what they have written", as nobody = no person, is a rhetorical question, or in case you are unaware, one that does not require an answer.
As I have no interest in who may or may not check before posting, but would suggest people did, as is the case on this thread, it would make the comments make sense, in terms of moderating the forum, the latter in this case is correct.