My kids have had to deal with star trek their whole life because of me, but they didn't really interested until Enterprise hit netflix. That's their show. The've seen some TOS, one of them is binge watching DS9, the other is really into DSC. We've even watched Star Trek Continues together, and of course all the movies, but ENT is their trek. It's perfectly plausible. Consider your credibility strained.
TOS doesn't resonate well for everyone. For some yes, but not all. You can enjoy a new western without having to watch The Great Train Robbery, too.