Personally, what makes the hunt more meaningful to me is not so much the weapon used, but how close I am to the deer. Yes, I admit to be very proud of the doe I killed years ago with my old longbow, but I'm also proud of two 9 pointers I've shot with a rifle on the ground inside of 40 yds. Once upon a time I was stoked to be in a tree in LBL first part of January. Then a doe came by and I realized I simply couldn't get on her fast enough to draw, much less let an arrow fly. It was in the single digits that morning, so I was dressed up like the Michelin Man. So there's that...and winter clothing's effect on your shooting form to consider. Also, drawing a heavy bow after sitting in the cold can be more than just difficult, you can make yourself a candidate for rotator cuff surgery.
But as for the hunting with firearms, what I'd like to know is just how much the gun opener affects deer movement. Is my drastic reduction in deer sightings one week into gun season (where I hunt, at least) because of guns a blazin'? Or is lockdown as much a big factor? Or is it because I'm on public with no food plots? How does this relate to the OP? If I knew that gun hunting was biggest factor, which there is certainly A LOT OF around where I hunt, I guess I'd be more stoked to keep shooting the bow, or at least hunt thicker areas and closer to edges and such like I'm still toting a bow. I'm reminded of a lease in Perry County my buddy was on years ago. He could take a friend during bow season and I was surprised when he told me their rule that you couldn't hunt within so many yards, maybe 100 if I recall, of any of the food plots.