To my understanding of it, no, blasting it wont weaken the metal, unless its riddled with rust, at which point its fubar anyway.
Depending on how its blasted though, it may warp the panels.
Soda blasting is the nicest of it all, but leaves a residue that can be a pain to deal with.
Sand blasting (garnet blasting) will strip quickly and leave no residue, but if the operator isnt careful it'll warp the panels (eg, roof, doors, large flat areas)
Acid dipping is the most effective way to get EVERYTHING off in one go, however i have heard that you'll have the acid solution leach out of seams for years to come.
Sanding, either by hand with with a DA orbital, will give you the best and most consistent control over the finish, depending on how deep you want to go, but it'll also take the longest.
Personally i hate sanding, it takes forever and drives me up the wall.
There is also chemical strippers, they'll remove bulk paint (and body filler) very quickly in localised areas and make a hell of a mess, but they'll still need finishing work in the area afterwards, eg, cleaning/sanding of residue.