Anti-SpaceX people always do this "Wherever SpaceX is, go to Step +1, claim this step is impossible and therefore SpaceX is doomed". They have been doing this for 15 years.

Starship isn't doomed for that reason, all the technical stuff on starship looks pretty good.

What may doom it is the fact that Elon Musk has pissed off basically everyone, because means that he and his businesses are running into a lot of political danger, so he may find his space stuff banned for non-technical reasons.

"Doomed"? If you listen to every two-bit "Elon Musk bad" grifter, then, sure.

In truth, Starship needs orbital refueling to get to the Moon - but so does Blue Moon HLS. Artemis depends on someone being able to figure orbital propellant storage and fuel transfer either way.

Which may have been a conscious decision by NASA. Orbital propellant storage and refueling are technologies that unlock a lot of capabilities - so if you get into a silly race with China over who gets to reenact Apollo 11 first, you might as well get that out of it.