I directed this same question to my buddies with whom I shoot High Power as I shoot a 1-9", 20" AR. Their answer was everything lighter than 75 gr., I'd be OK, 75 gr. bullets, MAYBE, especially the shorter length bullets such as the 75 gr. Hornady HP's. Anything over that, no way. I trust these guys because part of the X-course competition involves shooting out to 600 yds.
I have a Rem. 788 in .223 with a 1-14" barrel. According to Greenhill's formula, that twist shouldn't stabilize a bullet over .7" in length. Undeterred, yesterday I loaded some 60 gr. Hornady SP's (.75" long) and some Sierra 65 gr. SBT's (.8" long IIRC). Velocity of both was a shade over 3100 fps. The Hornady's grouped 5 shots right at 1", while the Sierra's, though striking the target perfectly straight, grouped 5 shots over 2 1/2".
I also have a 6.5x55 my Dad built years ago that has a 1 in 9" twist. Shooting 160 gr. RN's, I was getting nice, small groups, but noticed each bullet hole in the paper would show a slight smudge on one side of the hole. I tried them at 200 yds. and still got nice, small groups, but still the smudge. The bullets obviously weren't stabilizing, but were still accurate to at least 200 yds.
I said all that to say this: try them, but don't judge the stability, or lack thereof, by how round the bullet hole is in the paper.
35W