Yes it may be the angle it's filmed from but it looks a long way out. Collet extensions don't cost too much. You might consider using a brush to sweep away the waste too (rather than fingers - we've all done it BTW ). Safety tips aside it looks like a good project.
That's going to be a nice bench. But I just have a couple of comments on your router bit setup. It looks like a 1/4" shank and the bit is quite far out of the collet. That may lead to more vibration & chatter.