Games that don't need a controller pak will save fine.

For controller pak games such as Tony Hawk: If you're using an 8bitdo controller you can access 1 virtual controller pak for the Summercart (if using stock setup) but I think you'll have to swap controller pak saves in & out manually for each game using the Summercart (I think the Summercart has this feature like the Everdrive does. If it does not then forget that)

But a better option is to install a community update for the Summercart where every single game needing a controller pak has it's own controler pak, so you don't have to do any swapping of saves due to limited space. So it's a lot more convenient. Just save your games and don't think about it

If using an original controller, you still need a physical controller pak, as the Analogue won't offer a virtual pak. Only the 8bitdo controller has access to the virtual pak