As far as these 3 common names, those are valid with (mostly 1:1) usage. I also don’t see any additional issues at this point that would be cause for rejection by common name authorities such as ESA (feasible 1:1 use, specification of higher taxonomic placement). Since we don’t have any current issues with duplicated common names, and due to public use, it really doesn’t seem appropriate to delete the common names here. The variants of “mosquito eater”, though, definitely aren’t a species-specific name so found a different fate.
Unless it turns out that there’s a higher taxon including these that legitimately is called Giant Crane Flies (not just Large Crane Flies) or otherwise different species to fall under that name, these are all probably best kept as-is. If that were to be the case, it might be proper to amend Tipula abdominalis as the common Giant Crane Fly (or common American). I’m not sure if there’s some other amended form that could be argued for, and it’s generally good to be cautious on amending beyond emending. I’d incidentally tried to find something of the sort in use not terribly long ago, myself, but to no avail.
One of the main points here is probably going to be ID correction (there are various fly identifiers who could probably be enlisted to help). Many IDs are added from Computer Vision, which doesn’t seem to work as accurately if there are some rather small sample sizes for some of those species. I’d also agree that just dealing with common names won’t be a sure-fire fix (though a combination of that, amended names, and a bit of outreach did help a little with a small handful of paper wasp species).