Yes, few professional investors would be interested. No matter what they claim about wanting to build long-lasting companies, the structure of VC funds requires them to have exits.
Interestingly, though, you'd also be out of luck with a lot of potential employees. The more ambitious ones want options that might make them rich. Without any prospect of an exit, you lose all the hotshots to competitors who offer such a prospect. That's why big, private tech companies are so rare.