It is not so much the idea that someone might claim that it is stolen or illegal but rather it could have secondary effects via doxxing or even swatting as evidence that you had a gun and threatened them. See this story,
https://www.kansas.com/news/local/crime/article192244734.html as a tragic reminder. One of the reasons that Mas Ayoob and others recommend calling the police whenever you have a confrontation (armed or not) to call 911 to get your story in before a malicious liar has an opportunity to do so. Our legal system operates on the honor system that assumes people are telling the truth with them being punished for lying much later.
If you are innocent, you can end up like the poor old Mass. school crossing guard where a chance conversation made a waitress report him
https://www.lifezette.com/2019/10/crossing-guard-veteran-gets-post-back/. He lost his firearm license as a result. In Tennessee, a newspaper editor with a hatred for concealed carry published a searchable map of people with one that set them up for theft and harassment by anti-gunners.
https://www.gun-tests.com/news/news...emphis-Commericial-Tennessee-CHL_11144-1.html
Leftists are purposefully destroying people's lives because they do not believe that any regular citizen should have a gun. And a fair piece of them live on the internet patrolling for wrongthink and trying to get people fired or entangled in the legal system from their internet searches. Other problems are caused by malicious family members or random internet trolls that take offense to what you say or do. I fear those guys as much as wrongdoing by the police or national security apparatus and thus you should protect yourself online via protecting your privacy.