I don't want to, and I don't plan to. At a time when this happened, I was deep in my studies preparing for exams, and I just remember thinking to myself, "I cannot afford to pull myself into what could become a legal matter" I am now in better position to allocate time and attention should such claims be made again.
That said, the couple of brands that were removed were not brands that I would have wanted anyone to buy anyway. Not much is lost by not having them on the website from the perspective of fulfilling customers' journeys of finding a good product.
I do like the suggestion made in one of the comments informing customers why some brands are not visible on the website. That warning might on its own deter others from making such claims.
Maybe, have a page in which you show that all the details of that product have been redacted as the producer requested. Something like a DMCA strike list. This leaves a great say about how muche the company wants to manage the narrative of their product.