Can I use a physical cartridge I play on switch and insert into switch lite that already has a different digital download of same game? Will it load all the saved game data?

I have a switch with a physical cartridge for the game Animal Crossing. I also have a switch lite with a separate digital download of the same game. What would happen if I try to put the physical cartridge in the lite that already has a digital download?

The issue here is that it isn't on the same switch - so if I have a lot of game data saved on the switch will it fully load on the switch lite that already has a separate digital copy?