You can fire 'em in an Airweight of perfect mechanical condition but I wouldn't fire too many of 'em.
Heavy bullets will jump the crimp much easier than light ones, since the sharp recoil of the gun moves the gun but the heavier bullets resist the inertia more, and each subsequent blast it can move more. The same heavy bullets though, won't jump the crimp in a longer barreled, steel revolver that weights more, due to the gun not recoiling as viciously! The two things that dampen recoil in any gun are a longer barrel and more weight. An Airweight snubbie has neither! Worse are the titanium AirLites. Brutal to fire, and very prone to heavy bullets jumping the crimp!
Once you experience bullets jumping the crimp you'll see how this could cost you your life in a frantic gunfight. Once those bullets protrude out the front of the cylinder . . . the cylinder ain't gonna turn and index for the next round . . . and you'll be holding a very tiny, "Airweight" paperweight. Not good.
THE OTHER REASON NOT TO USE HEAVY, +P LOADS IN AIRWEIGHTS . . .
Why wear out your gun really fast . . . or even cause it to go Ka-Boom? Aluminum-framed revolvers can have their frames stretched with stout loads.
At first, the gun starts spitting lead due to too much gap between the cylinder and forcing cone. Lead shavings in the hands, face . . . and EYE ain't fun.
And . . . the gun loses its accuracy TOO . . . and may eventually blow the top strap off and/or blow the cylinder apart. Not good. People sometimes get severely injured or killed when this happens.
If you need more gun, buy one . . . but a standard velocity .38 Special cartridge is what you need in an Airweight . . . and it WILL do the job with correct bullet placement and adequate penetration.
I carry a 1971 S&W Model 37 Airweight in my pocket as my "always" on me handgun. I feel fine with standard ammo in it . . . even flat nose 148 grain wadcutters (they cut a sharp wound channel rather than plug like round nose and hollowpoints that don't open up, and penetrate well too)!
Hope this helps!
T.