To clarify, I don’t fish during rifle season not because of a fear of safety, but because I want to respect rifle hunters who only get to do what they love in the woods for two weeks. Don’t want to get in their way and potentially screw something up for them.
I look at archery season a little differently. First, it’s a much longer season, two seasons actually. Second, there are far, far less archery hunters out there than rifle hunters. You’re much less likely to run into an archery hunter in the woods during archery season than a rifle hunter in rifle season. Therefore, it’s much less likely you’re gonna mess up an archery hunter’s hunt, simply because you’re less likely to run into one at all. I still fish as normal during archery, just wearing my blaze orange as noted above.
FWIW also, I’ve run into archery hunters exactly twice fishing. Once was in a SGL parking lot. Two guys arrived right as I was locking my vehicle and was ready to start hiking. We chatted a bit and it turned out they planned to walk the trail as far as I was to where I was gonna start fishing, and then hike up a hollow they planned to hunt. We walked together and chatted along the way. Me asking archery questions and them asking fishing questions.
The second, and only time while actually actively fishing, was in late archery, when there’s even less hunters in the woods. It was in a large state park. I had parked at a lot within the park (only vehicle in the lot), and walked about 3/4 mile down a gated road to where the stream I wanted to fish, crossed that gated road. About 3/4 mile upstream from there is the eastern park boundary, which happens to be an interstate highway. My plan was to fish to that boundary, then hike back the way I came. Anyway, I got to within about 100 yards of the highway and could see that there was a big culvert pool there that looked good. Right about then I got that feeling I wasn’t alone. Looked up, and the archery hunter in a tree stand right above me said “hi, how ya doin.” I felt horrible, and immediately apologized and said if I knew you were in, I would have never fished up through. I asked if he parked on the highway by chance and came in that way. He confirmed he did, and was super nice, and said there was no way for you to know I was in here from the way you came in. It’s public land, we gotta share it. Super nice guy. I wished him well and hiked out, and came back after the season was over in February and fished that culvert pool. It had an 11” male Brookie in it.