When I registered a domain with my surname in it, the registrar had an automatic process in place that checked for this trademark and took away access of the domain. So far so good. The problem was that the registrar and its support then ghosted me and also never refunded me for the money already paid to lease the domain for a year. Overall it was a bad experienced with bad communication that made me switch registrar (note: this was a different registrar than mentioned here).
I think one of the problems is that as more and more individual consumers buy domains, certain legal processes and automation are not ready for that. A good registrar should anticipate that an individual private consumer may not have the legal experience or knowledge to deal with just being hit with something they were never explicitly warned of.
By following the reference they provided, which is to a post by the person running itch.io stating just that.
I don't know if the linked comment is actually correct, but the link to a comment plus quoteof the relevant part seems as factual as it gets.