I was perhaps a bit fuzzy: I used the word trademark, but I meant the moral equivalent that only confers moral rights and obligations. Ie don't be a jerk and name your stuff in a confusing way, even if there's no legal obligation.

Even this fuzzier 'moral' trademark only applies, if the original owner wants it to apply. I have no special insight into the bzip2 situation. So I have no clue whether the authors of bzip or bzip2 cared. I gladly defer to your research on this question.

My point was meant purely abstract about the possibility of wanting your source to be free and open and fondled by others, but still have a (morally) protected name.