I don't understand the exception you are proposing. If the "crucial problem" is several steps in, then your first several MVPs succeed easily (indeed, that is the case for Tattlebird). Any successful startup overcomes several PFAs (potentially fatal assumptions). You absolutely need faith to proceed on this path, but you need facts to stay on the path and not waste your time.
I would need to know a lot more about your product before I agreed it was an exception. Your product's success relies on a long list of assumptions. Validating those assumptions as quickly and cheaply as possible increases your chances of success.