Go ahead then. My website is unprofitable but it's a conversation piece.

Did my website get me a 6 figure job or my undergrad in engineering?

I'm honestly not sure what point you're trying to make.

If you're saying your website is unprofitable but helped you get a 6 figure job then it isn't really "unprofitable" in a broad sense because despite not generating revenue directly it contributed to your lifetime earnings, so I don't think this conflicts with the idea of trying to capture indirect benefits by looking at lifetime earnings.

If you're saying your website is unprofitable and will never help you get a job (even as a conversation starter or indirectly through experience you obtained creating it) but is nonetheless an "experience that will set you apart" like grad school, I would disagree about whether it is really "setting you apart" after all.

You may be able to answer the questions with a study, although it will be tough to pick all right variables to control for.