As a huge fan, I am often trying to inform commoners how pre-74 is different than post-74. To the point that I sometimes feel like one of those ComiCon geeks.
The albums are, in fact, Alice Cooper albums. That is easy to determine.
As to who to credit for the specific songs…
I don’t see any legitimate site saying that The Alice Cooper Band was involved. They do, however, say that members of The Alice Cooper Band were involved.
I mean, I had Ace Frehley and Peter Criss play at my bar. They each did an individual set, and then they did a 3rd set together of nothing but KISS songs. It doesn’t mean that I could sell it as a KISS concert.
Vinnie Vincent even wrote a few songs on the KISS Revenge album, it didn’t mean he was back in the band.
It’s nice to dream about our favorites getting back together. But until it happens, it hasn’t happened.