The late Skeeter Skelton wrote that he had fired 38 Super ammo in a 357 Magnum revolver so chambering seems possible. Of course, 38 Super chamber pressures used to be much higher than current 38 Special.
Yes, I said used to be.
For decades Super ammo was loaded in nickel cases to make them different from the brass cases used for the old but dimensionally identical 38 ACP. Super ammo was also stamped +P by ammo makers. The 38 ACP propelled a 130 grain bullet at about 1050 FPS and max pressure for the 38 ACP is 26,500 PSI. The Super used the same bullet at 1280 FPS at 36,500 PSI.
A few years ago I noticed that new Super ammo came in brass cases. When I clocked the new stuff I got about 1080 FPS. This is 200 FPS below the original Super velocity and barely above the 38 ACP level. I suspect that although the SAAMI max remains 36,500 the Super has been down loaded to around 27,000 PSI.
Also consider that in 1974 SAAMI arbitrarily reduced the max pressure for the 38 Special. I think it's now 20,500 but it used to be (IIRC) 22,500 or 23,000 PSI. This was done for legal reasons and not because the guns got weaker.
So I am guessing that while current factory 38 Super ammo is at a higher pressure than a 38 Special, it's not nearly as much higher as you might think, and the guns will take more than SAAMI now suggests. Instead of being 16,000 over, it's more like 3,000-4,000 PSI. Probably still a bad idea to shoot Supers in a 38 revolver, but then again, that rude guy at the range seemed to be getting away with it. If I lack scientific evidence, I consider real world observation.
I still wouldn't recommend it, but shooting current manufactured Supers through a good quality 38 revolver likely isn't quite as death defying as it may seem at first glance.
Of course, if anyone has proof that modern 38 Super ammo is still loaded to 36,500 PSI then my theory goes out the window.