Swamp ash is light, under 6 lbs usually. Northern hard ash is pretty heavy, easily more than 6 lbs every time. FWIW, swamp ash is considered more musical and is the ash that Fender uses.
I do prefer swamp ash to alder, it has a little more spank/pop to it. Alder sounds good as a bright wood, but is a little more even sounding than the ash.