I think so, yeah, if only because altoists were on Bird's tip the way that tenorists were on Prez', at least for a while.
But Bird did it too (as did Louis Jordan, Pete Brown, & a bunch of other pre-bop altoists), and as much as I hate to admit it, a saxophone is ultimately a saxophone, alto or tenor or whatever. Just goes to show you how much "there" there was in Bird. And in Prez.