I love the traditions of baseball.
I think the DH in the AL is cool and the Pitcher flailing in the NL is cool.
I do not think it should change.
Ground rules are ground rules. If the home team has the pitcher hitting, then the visiting team abides by those rules.
I do not think it should change.
Every year, MLB conducts research among the fans.
Approval of the DH rule is consistently split 50/50.
Virtually 100% of fans in AL parks approve of the DH. And virtually 100% of fans in NL parks disapprove.
Accordingly, right now, everybody is getting what they want.