It can be classified, but I doubt in an official manner. Plus it wouldn't be a proper name of their kind to just call them bigfoot, it will be hard to erase that term. If they can mate with modern sapiens with fertile offspring then they would be human with human rights and also subject to our laws governing us. It would not work out for them. That's a major road block.
FWIW, I've been on the genus homo coarse from day one on this forum and going on 9 years ago. far before Ketchum came along. The evidence has always spoke the same things to me, "human" but different enough to not fit in our society. It may be that the differences can be found in the nuclear DNA and that would classify it as technically another species, but there would be a political correctness problem in doing so should it be proven they have modern sapiens mitochondria.
I want to know what they are for sure, and it can be done with DNA, but most likely only on a personal level, due to all the second guessing that goes on about provenance of samples. It takes multiple independent results from a sample that tests human and which you know should not be, to accept they are human without seeing the creature.
I know my sample should not be from an ordinary modern human based on all observations at the time of collection, the morphology etc. Yet it has tested human once. This is why I wanted it tested again and again.
Based on other testing of samples outside Ketchum's study, it's clear that no nonhuman ape DNA has ever come from the samples, so I'm not expecting that to change.
The descriptor of " wild human" is dominant when experts and witnesses relate their experiences and impressions of the evidence. The collective of that is not likely wrong in my opinion.
If I add the tracks and morphology there, plus the audio recordings from people I think are legit and which contain the speech sounds, my hypothesis gets even stronger, while yours requires you to try and shout all the evidence down leaving you with little to none, for a creature that is so well dispersed across the country and should be much easier to find without human intelligence.
A "wild" human could simply get a haircut and rejoin modern society, as there would be no difference of any note.
Unless, of course, it was Homo Erectus and farther back, in which case language would be an issue and at that point you are only talking about the same Genus not the same species.
Well you see, I don't discount some of the differences. One of those is the profuse hair covering, and the lack of cuts on the individual hair strands that are found is one of the tells, that it lives in the wild........ isolated from the barbers. By most other appearances, they would correspond well to human hair with some difference in pigmentation and medulla width if present.
You should consider that it would be a dangerous game to declare there is another extant member of homo, yet not considered to be human. Our legal system likes things to be black and white with no grey.