Well, if we're going to talk "Centers", then let's look at a few.
Dan Issel typically faced up, and even shot from the outside. He was genearlly considered a center.
Bill Laimbeer ALWAYS faced up, and ALWAYS shot from the outside. He was always considered a center.
Bill Cartwright had several face-up moves. He was a center.
Will Perdue had no back to the basket post-game to speak of. He was a center.
Alvan Adams was a face-up guy. For most of his career, he was considered a center.
Wes Unseld played high post offensively. He was considered a center. Elvin Hayes played with his back to the basket. He was the power forward.
Rony Seikally - center. Sam Lacey - center. James Edwards - mostly center. Dave Robisch - center. Mike Gminski - center. Brad Miller - center. Vlade Divac - center.
Buck Williams typically played with his back to the basket, and had good post moves. He was a power forward.
Truck Robinson - power forward. Mitch Kupchak - power forward. Maurice Lucas - power forward. Jerome Williams - power forward. Bo Outlaw - power forward.
Pretty much amounts to which they WANT to be classified as.