Nowhere outside of Tampa will you hear someone say that Alstott has a chance to be a Hall of Famer.
He doesn't have the stats or dominance, and didn't have the blocking ability either.
He was nothing more than a fan favourite who was exciting to watch. He was an anachronism, but if you compare him to the FB of the past who used to get more carries, he doesn't stand up very well against them.
The last FB to be inducted to the HOF was Larry Csonka, who retired in 1979. If a modern FB does get in, it will be Lorenzo Neal because of his elite blocking for many years.
Take a look at the preliminary list of 127 players for this current group of hall of famers.
http://www.profootballhof.com/enshrinement/2012/9/27/2013-nominees-for-football-hall-of-fame/The FB position isn't even listed.
Keyshawn Johnson is even on that list, and he's far from a hall of famer.