Having a physical copy of something is always superior than online DRM based downloads. A ton of of games these days only have their physical edition as a limited release if it's not a first party one which has caused physical game prices to spike up to scalper hell levels on the aftermarket. There's more space efficient methods of storage but having a cartridge box is large enough that you won't easily misplace it. It's a similar frame of reasoning to keeping CD cases.
I don't think there are even enough switch games for this many fucking cases to be displayed like this, fucking guy in those pics is a fucking cosoomer/game hoarder for sure.