I see what you're saying, and perhaps The Pirate Bay wasn't the best example I could have picked. Remember that the site IsoHunt was taken down as a result of a lawsuit, despite the name of the site literally suggesting it was a search engine for finding disk images of Linux distros. They also effectively complied with the DMCA, despite being based in Canada where the DMCA didn't apply:
https://en.wikipedia.org/wiki/IsoHunt#DMCA_takedown_notices
Of course the "intent" of the accused is something that a legal process can consider, but I've always been unimpressed with the argument of "It's right in the name!" when considering whether to censor The Pirate Bay. If they had changed their name to the "I Rate Bay", and branded themselves as a site for people to discuss and rate the quality of certain hex strings (magnet links), then, by the "It's right in the name!" argument, the site should be perfectly legal.
There were a number of factors which lead to the legal judgements against The Pirate Bay (across the multiple jurisdictions where the site is censored), but if the legality of a site were to come down to a single letter in its domain name, and not based at all on the actual functionality of the site, then I think that would put us in a very odd place in terms of freedom of speech and the enforceability of the law.
We're back to the "wine bricks" of the Prohibition era, with their "warning" not to leave the contents dissolved in a gallon of water in the cool cupboard for 21 days, to prevent "accidentally" creating wine:
https://www.smithsonianmag.com/smart-news/ingenious-brick-he...