Are buses from Kawaguchiko to the Mt. Fuji 5th Station crowded?

by Jacqueline
(Japan)

Hi! My friends and I are climbing in early July and we're currently deciding on transportation; the bus with the timeframe we wanted is already booked, so we are looking at going from Shinjuku to Kawaguchiko and then taking the local bus to the 5th station.

Since there are no reserved tickets, I'm just wondering if it's ever an issue getting tickets for the local bus from Kawaguchiko to 5th station? In case it's crowded and all the tickets are sold out. Especially since we are planning to get to Kawaguchiko and right away buy the tickets for the next available bus.

Or is it usually never that crowded? I'd appreciate any help! Thank you!