I just would like to say it is unnecessary. There are no Justices that are right now politically active and it might encourage them to be even less active. Additionnally, it wouldn't even bar them from having a party role as often those who de facto lead aren't Chairman/Vice-Chairman (for example Griffin/Windjammer in the 2014-2015)
I echo this. The roles of 'officers' in parties are fairly redundant, and frankly if the parties really wanted to get around this, then they could- either through not being the de-facto leader, or through creating other roles.
There are people who are party chairs who I would trust to be on the court, and would trust their judgement/skills, and there are people who have never served as party chairs who I'd question being on the court.