I can definitely see a case for a dedicated solo button:
My inspector sits to the right of the screen in Track View so flyout doesnt cover the track pane at all - solo is still accessible for me. If you have yours on the left, then it will possibly cover the Mute/Solo buttons in the track pane. In Console View flyout will not cover the solo button unless activated from a strip too far to the right, which on my 24" monitor is anything more right than center.
I think reset would be better substituted by an A/B selector.