Yes but he will not be scheduling a vote if he thinks that has any chance of happening
This assumption that one person could force the House to never have a speaker is a ridiculously nonsensical argument. It is literally an impossibility for there never to be a vote for speaker. There is a 0% chance of that happening. The constitution requires it. If there is too long of a delay than the members can and obviously would hold a vote without him. And the GOP would pay a huge price in the next election for attempting to bring the idiocy to a new level.