I think you are correct that refusal to take it up means only that he’s off the CO ballot, but that other cases are free to go forward.
I think they are likely to strike it down saying either congress has to declare him ineligible OR he needs to be convicted in a criminal trial like other Jan6ers have been.
I’d be OK with a conviction standard, because I don’t want Texas courts to start banning candidates based on whatever BS Texas can dream up: gun control = sedition. Yeeha!