Does the Macintosh classic have the signatures of the original Mac team?
No. The signatures were really only in the 128K. Each time some the case saw some minor modification, some of the signatures would be cut off in part or in whole. The 512K Mac contained some of the signatures, and the Macintosh Plus contained a few less. At some point, the signatures disappeared entirely.

The Macintosh Classic was an entirely new case design, though, six years later. There were no signatures on it.

Also, not being fully satisfied, I found a picture:


Cracking Open the Apple Macintosh Classic