I've sunk a huge number of structure items over the years, Never once did I consider it "mine" after it hit the bottom. I have had folks try to shoe-horn in to fish a structure I was on first and I just keep on fishing while they are forced to wait till I'm done. Most of the time I just ignore them. You know how the wind is when it blows your boat between that structure and their boat.
I get reports of folks essentially running others off "their" spot. Luckily I haven't had to deal with that other than the time an old man pushed my boat several feet away from his boat so he could drop his anchor where my transom had been sitting. I was amazed he had lived that long acting like that toward others. I just told him my piece and went on.