I guide for an Outfitter and we've had a few public land hunters it's not that big of a deal to us, we'll always try and talk with the group hunting to see how their doing and where they kind of hunt so we stay out of each others way. We have mostly drop camps up in the wilderness and sometimes depending on what the elk are doing we may take our guided clients up to these camps as well to hunt out of.
Just don't be like the guy we had come thru base camp a few years ago, it was him and 8 kids (not all hunting age) he really had a chip on his shoulder even though we were just trying to let him know our travel routes with our clients and horses every morning and evening. He got really mad and just sad well "I'm hunting here cause if your here there must be elk." Well that's true enough but if you camp in the wrong area it will mess up the hunt for everyone including his hunt. He went on his way and we ran into him the first morning camped right on the trail where we told him we use to travel, so it was like he wanted to be confrontational. But we just let it be and did our thing and he did his. He moved after the second day off the trail, I'm sure he didn't like the early and late night horse traffic.
But for the most part we rarely see other hunters where we are at just because of access, it's all private where we come in and if the public comes from the North or South of us they have a long, rough 10 mile hike to get anywhere close to our base camp. We know it's Public Land and Yes we pay permitting fee's so we feel more responsible how the land gets treated, we've cleaned up may camps in the wilderness where people just leave their trash, and we don't feel it's hunters but weekend backpackers more than anything. We sure don't want to get blamed for other people litter on land we're permitted to operate a business. Just hunt where your planning and talk with the guides if you see them and I'd say just treat them how you'd want to be treated.