I think what you're asking is that if there is asbestos and someone does renos without being aware of it, would that have long-term impacts on the safety of living in that home?
Not and expert, but I don't think it would matter. Not unless the house is covered in shag rug, has never been cleaned, and you plan to sniff it a lot.
The risk of asbestos is mostly from when it's being disturbed and you inhale the sharp little particles that get stuck in your lungs, and then your body can develop scarring and mesothelioma in response. So it's the asbestos dust that's really the risk, and like the sun, it usually requires a decent amount of exposure, but technically, just like you could get skin cancer from one exposure, you could also get lung cancer from one asbestos exposure, it's just not likely.
So I wouldn't expect that a home that once may have had some asbestos dust disturbed would be an ongoing substantial threat to the inhabitant. Not compared to say, a constant gas leak in the bedroom.
I once helped a friend scrape off popcorn ceiling and only years later realized it was likely asbestos, so I had piles of the dust falling right on me and making a massive mess. I asked a few oncologists I know and they told me not to worry about it. The laws exist primarily to protect people in construction who developed cancer as a direct result of unsafe work conditions from working day in and day out with asbestos dust exposure.
Asbestos in your home is a much bigger deal because of the expense of mitigating it rather than the risk of mesothelioma for the residents of the home. Asbestos probably isn't even the worst carcinogen in your home, depending on the reports you read, it's about the same as alcohol, which is pretty bad, but no one ever refused to buy a house because someone once spilled alcohol in it.
There's actually still asbestos in a ton of commercial and domestic products, it's not banned, only in materials where workers are frequently exposed to their dusts. It's still in makeup, appliances, cigarette filters, etc.
So focus on the costs that will be incurred if asbestos is found and negotiate your purchase price according to what makes sense based on those costs. And don't give it much thought beyond that.