Hello Rio. Welcome to Bachido!
Disassembly after every session is not necessary. If your shamisen is in a safe place, it’s completely safe assembled.
Actually, I think it’s like passing a car on the highway: It’s still safe, but each time you pass a car, there’s always the risk that something bad will happen. That’s why excessive lane changing and passing was discouraged in my Drivers Test (In California at least. Not that it stops anyone from doing so ). Likewise, the shamisen is just as safe assembled as well as disassembled, but I think continually doing so wears out the joints, and potentially risks a tiny sliver of wood splintering off from the top of the sao. (The latter is a personal experience. Sorry Grant!)
I think the only time it needs to be taken apart is if you are wanting to transport it in a mitsuori case.
As Karl says, the koma is the thing to remove every time.