Last winter, I went to a popular lake with a small group of friends, looking for gills. After drilling and checking with our Marcum's, and finding no fish, we relented and moved down further into the bay to join the "community". I drilled 2 holes and immediately got into some nice gills. After putting 5 keepers on the ice, I waved to my buddies who were about 100 feet away, searching also. They came over, and I showed them where I drilled and told them to pop a few holes of their own. About 15 minutes after we settled in, a guy comes over and starts walking around us, mumbling something, sounding disgruntled. Then he comes over to me, the shortest guy, and starts to get in my face and yell that we are in his holes. I respectfully showed him I was fishing in the 2 holes I drilled (6"), and was avoiding the obvious 8" holes (that were apparently his) scattered around just behind us, about 20 feet away. Keep in mind we are in an area that was littered with holes and a lot of people. He wasn't having it. I decided to tell him he could have the whole area and we would move. He was older, and I was concerned he would pop a blood vessel (Not kidding here). One of my buddies tells him he's not moving and to get over it. I intervened, managed to diffuse the situation, and all of us fished this area peacefully for the next 2 hours. I even stopped fishing to introduce myself and we have subsequently run into each other a few other times, always yakking it up before we got to fishing.
I think this happens with some regularity on the most pressured lakes, more than others care to admit.
I, like others, would love to find a productive lake with absolute solitude to ice fish. Short of buying land that surrounds such a lake, that is nearly impossible here in deep SE Wisconsin.