I think we're agreeing and not realizing it.
What happens when you add DOT 5 to a DOT 3 system? Nothing abnormal! Don't believe me? Ask Harley Davidson! They switched from DOT 5 to DOT 3 in the late 2000's. The only part numbers in their system that changed were the master cylinder lids, because they indicated the change in spec fluid. All the seals and other parts were unchanged.
Plenty of mouthbreathing HD guys dumped in DOT5 without realizing that there had been a change. No problems! (Note, these are the same guys that think the fluid is being used, like engine oil, so they top it off, not realizing why they can't get the pistons to retract when it's time for new pads)
Rick E-berg has always advised that it's ok to mix DOT 3 and DOT 5. The characteristics that are different have no effect on the functionality of the fluid.
Ask Penrite why they're wrong!
It wasn't from mixing DOT 3/4 and 5. In 2004 I mixed all three in a baby food jar, and even punched a hole in the lid so it could absorb some moisture. I finally threw it away a couple years go. No gunk.
This person gets it.
My personal opinion about why they say not to mix is twofold.
#1, it's difficult to define what you can put in the system, and saying what can mix makes that more unclear. Mineral oil brake fluid, which is a thing, should never be run in a 3/4/5/5.1 system. The materials in the cups and seals is totally different.
#2, Manufacturers have to dodge any liability arising from unclear instructions.