Wait until we all delete unconfirmed transactions for more than 2 weeks. It'll be fun, I swear. 

Yeah, lightning won't work on multi-sig. The point of a multi-sig wallet is the security gained from not having all required private keys in one device. But, lightning requires you to sign commitment transactions (which use inputs from the locked funds) and be online at all times (e.g., for signing a potential penalty transaction).

There is also this explanation: https://bitcoin.stackexchange.com/a/97123/134811.