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Does anyone do this?

Does anyone have a multi speaker cabinet where you wire it in 4ohms for certain situations and 8ohms in others?
I have a vintage 2x15 with two 16 ohm drivers that I wired for 8 or 32 ohms specifically to protect the drivers from my high powered Streamliner amp and to trigger the tube amp emulation when the amp is pushed into soft clipping at higher ohms. Check this.
 
Barefaced makes a Two10 with a switch to select 4 or 12 Ohms. The original configuration was a fixed impedance. Then they marketed a mod kit. Now the switch is available on new cabs.

Again, I have never seen convincing math as to how this is possible.
 
Again, I have never seen convincing math as to how this is possible.

Alex had it on his site or in the Barefaced thread here, but I can't seem to find it. If my memory serves me, he stated it wasn't exactly 4 or exactly 12 but it effectively was close enough. I'm probably paraphrasing very poorly, because it is beyond my understanding. There's probably also a reason why this information isn't easily found on a search.

I did find these results in a FB discussion.

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The math doesn’t match… as an amp designer, the definition of nominal impedance includes minimums and the bandwidth that sub nominal impedance applies to.
 
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