Overlapping Hotels – Tokyo and Kawaguchiko

Hey,

So I will be coming back from Kyoto and heading to Tokyo as such, then to MT Fuji. Currently looks like this

Nov 3 – Nintendo Museum, then to Tokyo for 1 night

Nov 4 – to Kawaguchiko/MT Fuji Q, stay here in Ryokan

Nov 5 – back to Tokyo

Is it worth it to just stay in Tokyo for 1 night and then check out to go to Mt Fuji? Or is it too much of a hassle?

Alternately, I would just check in to my Tokyo hotel, go to Mt Fuji for 1 night, then come back to my Tokyo Hotel for the remainder of the trip. In this scenario, there is a overlap, so essentially I would be paying for 2 hotels for 1 night. But less hassle

Is checking in and out of hotels a big time waster?