if memory serves both Adam Back and Joseph Poon said that SC and LN respectively needed a bigger block in any case.
(I'm actually in a hurry as soon as I've time I'll post reference to the source)
Sure. Everyone is concerned about the transaction rate. SC and LN do not obviate the need for performing on-chain transactions. They simply make it possible to do lesser importance transactions without bloating the Blockchain or trying to morph Bitcoin into a real-time system.
From an operational perspective everyone benefits from a higher transaction rate. The main thing is that if the higher transaction rates in Bitcoin results in subversion of if as the core value store then everything goes up in smoke and we've got to start over from scratch (which, as I've said, is not without it's own set of pros and cons.)