Do the seedlings of cultivars revert to the generic specie form?

I would like to know if the seeds and subsequent seedlings of cultivar fruits revert back to the generic species form, instead of carrying on the the selected traits of its cultivar parent source?

For example, if I plant the seeds from my pollinated American Persimmon cultivar 'Meader', will the seeds just come up to produce ordinary American Persimmons (being male or female) or will at least some of the offspring carry-on the 'Meader' traits and some ordinary American Persimmon non-cultivar traits?

I'm pretty sure that the seedlings never grow true to the form of its direct cultivar source, but I think that in some fruits it does...?

I'd like to know if this happens in American Persimmons & Paw Paws.

Thanks,
Steve