If you don't take bug reports as tweets, or in e-mails, but insist that 1) they go into a bug tracker, and 2) that they evidence some care (such as, instead of saying, 'X is broken', include a list of steps to reproduce, and an expected outcome) then, well, you must be self serving, and feel that these bugs are not genuine or important.
But, you'll also have a greater capacity to actually deal with the requests where someone made the effort to report a bug in a useful fashion.