Let us try some napkin math. How thick does a cable need to be to move that much energy in that amount of time without overheating or being too heavy for a user to carry and plug into their car. Let's say 100KWh battery, to be charged at 99% efficiency via a 99% efficient DC-DC converter in 10 minutes. That is a rate of 600 KW. Current HV chargers use 600volts, so that is 1000A current. 0000 gauge wire is rated for 302 amps, so we'll use four such wires for VCC and four for GND, thus 8 total. That is eight wires, 0.46 inches diameter each. Must be heavy and unbendable, but let's persevere. Copper's density is 8.96 g/cm^3. This cable assembly will thus weigh 11.7 kilograms (and that is without insulation) Given copper's resistance (0.046 ohms per 1000 feel of length) at 0000 gauge, our cable assembly will be shedding ~24W of heat simply conducting this power. Toasty for user hands... I cannot even fathom the kind of connector required to allow for this current
AND specced for thousands of insertion/removals. Contact areas in connectors are a constant issue, and here it will be even more so.
You'll also need to bend 8 half-inch-thick copper wires to plug/unplug this... I am not sure many people are ready for the force that will require. Also copper tends to break if you bend it a lot, so you'll need some other kind of conductor that bends, which means it will conduct less well, which means it will be thicker and heavier...
The alternative is a lighter cable with active cooling and higher losses. This has issues too (failure of cooling can snowball into a fire quite fast, coolant leaks are no fun, etc)
Now, back to our 99% efficient DC-DC converter. It will be shedding 6KW of heat, good luck cooling this, the battery charging at 99% efficiency will also be shedding 6KW of heat...same issue...
Basically, i am sure a small such battery can indeed charge in 10 minutes in the lab (~a 6C charge rate), and that is VERY cool, but moving 100KHw safely in ten minutes from anywhere to anywhere near live humans is a nontrivial engineering difficulty.
EDIT:
why not higher voltage? arcing, insulation material limits, cracking, rain, costs