For me the first Becky represents a person who is predominately Dan and Roseanne’s daughter, overall good hearted but also selfish. the second Becky was more Mrs. Healy, it felt like if it came to a fight she would stay with Mark and the 1st Becky would leave. So when Becky Conner was on the screen theyre marriage was on the rocks and when it was Becky Healy they just might make it. Would have been awsome if they had truely used the characters accordingly. But that would be a pretty sophisticated approach for a sitcom.
Of course you could also mix reality with the show, in which case Mark dies and Becky does become a doctor.