Mike, had you grown the newer version of DDR not on a grafted plant I would expect it would taste the same b'c grafting should not change the taste of fruits on a graft.
Nope, I haven't done any grafting myself but have done one heck of a lot of research for others about it.
The seeds from the DDR fruits as grafted should give you the same seeds since grafting does not change the traits of a variety. it may impart certain diseases tolerances, mainly systemic diseases, and may increase fruit production, depending on the specific rootstock used and whether the grafted plants are grown outside or in a greenhouse.
But the variety itself remains the same.