Trial over.
15 minutes or so dry running and the pump body is just warm agaings my lips - I'm guessing body temp, the air coming out of the fuel outlet is slightly warmer.
Lightly dip it in a touch of water it cools immediately.
After about 30 minutes of dry running it's occasionally sounding a bit rough, dipping it in water quietens it for a while.
After around 45 minutes it's sounding decidedly rough, soon after it squeeks & expires. But the casing is no more than body temp. It will restart with a tap runs a bit, squeeks & expires.
I can't see the modern automotive world being built on fuel pumps that overheat and go into meltdown as soon as the fuel gets a bit low as you suggest but I'm willing to be proven wrong
BTW GW, the links you posted don't open, not on my phone at least.