A little late in responding here ... but regarding Cheap Trick's classification:
Their live act circa
Live at the Budokan was very much in line with their classic-rock contemporaries. Rick Nielsen's lead work was pushed WAY to the forefront, and he was at his best while being permitted to rock out live. In the studio and prior to
Budokan ... I don't know if it was the on Epic Records direction or what, but Cheap Trick's harder edges were filed down quite a lot.
Listen to this early version of "
I Want You to Want Me". Then
listen to it sucked dry on In Color. Then
one more time on Budokan, with the energy and edge reinserted.
Verdict -- In the late 70s, Cheap Trick was indeed a classic rock band that wasted a few years being shoehorned into categories like "power pop". Away from producers and PR flacks, their live set truly represented the band laid bare.