I suppose the processing part is a shit ton of labor, requiring the tools and know how, so yeah, I can totally understand just leaving the carcass and let nature do the rest.
On a side note, there is whole cottage industry of You Tubers who make videos dedicated exclusively to hunting, shooting and/or trapping/processing into meat these invasive vermin.
...Because of course there is. I click on them more than once in awhile anyway. Good entertainment. Just one of many great channels --->  https://www.youtube.com/watch?v=jYkJ-NesQJY