Yes, I can see the clutch plates move when the lever is pulled.
And yeah, I can definitely tell that it's shifting through all the gears. The rear wheel moves a few inches forward and back in each gear, and some gears allow the rear wheel to move a bit further than others. Now here's something weird. When I'm in a gear and move the wheel until it comes to a stop, the clutch basket shakes. I'm able to move the wheel a tiny bit more after that, but it's very though. Now if I'm in neutral and move the wheel back and forth, it comes to a sudden stop and won't budge after that. And the clutch basket doesn't shake at all. Not sure if that helps or not. But yeah, I think I'd better just pull the cover and have a look.