I grew up in Springfield, so this episode is all a bit surreal.
I worked a few summers for the parks department at Snyder Park, mostly on the golf course which is no longer there. On two occasions the head greens keeper had to go talk with a guy who was bow hunting carp on the low end of the course which had been flooded when the adjacent creek overflowed following a heavy storm.
The park is part of a longish greenway that follows Buck Creek, so it's a magnet for Canadian geese which, like much of the upper northeast, have become a nuisance animal over the past decades given the virtual elimination of their natural predators. Taking geese out of season and without a permit and license is strictly illegal and subject to fines, but the geese population does kind of beg to be culled, albeit in accordance with DNR oversight. I can't speak to the alleged killing of domestic pets beyond that the city officials have stated they don't have credible evidence for this.
My understanding is that the Haitian population in Springfield consists largely of legal immigrants under "Temporary Protection Status". They have migrated there of their own accord not been "dumped". It's typical historically that immigrants tend to migrate to communities where they have family and friends organically leading to population clusters of similar immigrant ethnic origin.
Undoubtedly the large influx of immigrants is a serious burden on the greater community that needs to be dealt with by the local, state, and federal authorities, but the weaponized amplification of questionable narratives doesn't seem helpful in actually addressing the issue.