I, like Drew, also killed my first few deer with 25lbs starting in 1978. It was not a trad bow, but the old Bear LTD compound that you could take the cables off the 2 small wheels off the riser and reduce the draw weight by 50%.
But for the sake of this discussion, it was 25lbs. We shot fingers and instinctive back then, with Bear broadheads with bleeders.
I don't recall any total pass thru's, with the arrow laying on the ground, but I do recall the deer dying within sight and the arrow going in far enough.
With a "modern" trad bow design with new string material, I wouldn't think twice about 35lbs. Especially if you shoot 10-12 yards.
In fact, about a year or so ago I almost bought a 35lb Whisperstik recurve that JD made up. I almost bought it for myself! I fiqured in Late December in Michigan, with possibly frigid temps and bulked up wool, 35lbs may draw nice after 4 hours out there. And I'm 6'2" 210lbs.
Instead I've settled on my 42lb Thunderstick for those late season conditions.