I suppose what I'm saying is that there are also undesirable elements for the alternative.
After two bans and several other unplayable stages due to DSR, it's more likely that both players will be playing on a stage they just don't want to play. And, since it's quite unlikely that someone will win the set by winning on their CP twice, it might make more sense not to have the rule in the first place, since having the rule more often produces the undesirable situation of having very restricted stage selection.
I'm not too committed either way since I see the arguments for both, but it's something worth considering.