Okay. You can reasonably safely load 357 loads in a 38 case. HOWEVER, you must seat the bullet out so that the internal case capacity is the same as for the longer 357 casing. I've done it; it looks goofy and if you use lead bullets the lube gets all over.
I have to side with the cautious side. You're better off not doing it.
Your concern about "faster reloads" should not be a real problem. The extractor rod should get magnum cases pretty well out of the cylinder. I've shot DA revolvers in combat matches for years, and have very seldom had any such difficulty.