As Corso would say, "Not so fast my friend!" Or as an Army buddy used to say "Negative Ghost Rider" (I think its from a movie.
Rammer Jammer is not just a post Bryant tradition. I was a small guy in the late 70's and recall it while attending my first game in '78. Also my dad used to have this old stack of 45's (those are records for you young ones) of Alabama folk songs about Bear & the Tide. Check some of them out here:
http://www.alabamafootballsongs.com/listen.html
Where does it say "we just beat the hell out of you?"
Anyway, the track #8
Rammer Jammer, Yellow Hammer is about the '77/'78 seasons. It starts off with the line:
"Last year the Irish stold it from the Tide..."
That theme runs strong in several of those songs after the '77 season when Bama fans felt robbed. While all dont use the entire cheer they use a form of it. So as long as I can recall it has been a part of Alabama football. Traditions are added all the time and we cant just sit back and say only the Coach Bryant era stuff matters. I am sure one day the NCAA will ban it because like you said some consider it offensive.
"Rammer jammer yellow hammer give 'em hell Alabama, we're number 1 we're the mighty Crimson Tide!"
Sing it loud and proud with me. Come to the dark side! Muhahaha!
I stood on the bleachers as a kid and cheered RJYH before and after games when they played Auburn, Penn St, Notre Dame. As an adult I have enjoyed the cheer after vicotires over Auburn, LSU, UGA, Florida, and Texas. So I consider it part of my Bama tradition. I have taken friends who are grads/ fans of other schools to games and they got a kick out of it.
* BTW I am the farthest thing from trailer trash.