I think that a type specimen would be very useful, with some caveats:
If there are government agencies that really do not want this thing solved (something I consider a rational possibility) the evidence might just disappear.
If there are government agencies that really do not want this thing solved, bought and paid for experts might be hired to say that black is white.
Someone shooting one of these things might just not make it out alive with any part of the specimen, if reports of the creatures capabilities are correct.
The chances of finding a carcass of any rare large animal in the woods is probably not very good
Someone might find a body killed by vehicle. There was some report of this happening in the U.S. and a story that some mysterious goings on by officialdom made the body disappear
There are stories, which may be total nonsense, of live animals and bodies found after the Mount St. Helen's eruption. Again, without knowing the people personally telling the stories, it is hard to have any felling for the veracity of the stories, if they are anything other than tall tales.
There are at least two reports of these things being shot that come to my mind, one from British Columbia on the coast and one from Manitoba in a wooded area. The latter is a very interesting report. Of course the fellow who told the tale could have been telling a tall tale, for whatever reason. I certainly don't dismiss the story out of hand. If I knew that man personally, I would have some basis for judging his soundness of mind and his veracity. It was a very unambiguous report. We almost always have to rely on second, third, or Nth hand accounts.
Some people think it is vital that science acknowledge that the creature exists. I don't care very much. I personally lean to "almost certain," based on various cumulative lines of evidence. If science finally classifies them, I will probably enjoy saying "Told you so!" to a few folks. Apart from that, it is no big deal to me. I doubt that research on them will be any easier, even if funding is made available.