Possibly, but how many of the bugs are rare edge cases (i.e., attempting to break the game) versus problems players actually face in normal gameplay? Without knowing what priority or severity these bugs take, it is difficult to say how useful the increased volume of feedback is.
Even if someone is not attempting to break the game, they might accidentaly hit those rare edge cases.
Of course, you could infer the usefulness of the increased volume of feedback from the fact that a game author is extremely happy about it.
Overall, I don't see any particular problems with having reported issues. We definitely don't pay cloud storage per open issue or anything like that. Initial assessment of a bug report is not particularly difficult either.
I'm not sure if your concerns translate to actual negative impact.
Depending on what kind of game you have, those exotic edge cases can come to be the dominant behavior in games, particularly multi-player where slight advantages can lead to some players dominating every one else.