Windows 3.1 did have a BSOD. It wasn’t always fatal, you could try to hit enter to go back to Windows, but most of the time it wasn’t really recoverable, Windows often wouldn’t work right afterwards.

I ran into them all the time in 3.11 on our 486 which had some faulty RAM (the BSOD would even be scrambled). If we could get back to Windows after that, it’d just be in a zombie state where moving the mouse around would paint stuff over whatever was left on screen, and wouldn’t respond to clicks or keypresses.

Fun times.