When we as moderators see a flag, we can do one of those things:
Act on the flag – by closing, deleting, editing, ... a question. Then the system automatically marks your flag as helpful.
Mark the flag as helpful, but don't do anything about it. We are meant to do this when we think the flagger did the right thing by flagging (i.e. flagging such things is not generally bad for some reason), but there is not a actual necessity for a moderator to step in.
Dismiss the flag as not helpful. Then we select one of several reasons or provide a custom reason, which the flagger then can see at his flag overview (e.g. https://crypto.stackexchange.com/users/flag-summary/4572 for Joe – replace your own user ID, or click the number on your user page – the page is only visible for the user himself and for moderators.)
Don't do anything – this leaves the flag for another moderator to review.
In your case, both flags were marked as "helpful". The first one (a flag with a custom reason, only visible to ♦ moderators) was marked as helpful by a community moderator.
The second one (with "not a real question", and visible to users > 2000 rep) was marked as helpful by Community, a dummy user used to attribute stuff that happens automatically. I suppose this came from the close vote mentioned by Thomas.
To answer your question:
No, we (moderators) can't delete flags without marking them as either helpful nor non-helpful.
I suppose the developers can do something like that (if necessary by directly manipulating the database), but there is not much point in it, since the number of "helpful" and "not helpful" flags is not that important.
Looking at the question again, I now decided to close it. I'm unwilling to delete it, to not punish anyone who did put some work into trying to answer it.
Feel free to construct one or more better questions from it.