One of the subtler features of my DSG vehicle is that on most downhills it will automatically downshift to maintain speed. On a really steep hill it will start to race, but feathering the brake for 5-10 seconds will convince it to downshift once more. I haven't driven it in the mountains hardly ever, but that's one area where manuals often win out - no melted brake pads, no heat-warped calipers.
In fact I put way more miles on the first set of brake shoes on this car than I would have dreamed possible, to the point I started having mechanics check their records to make sure we didn't change them while it was in for something else.
Some cars have enough regen braking that you don't need the brakes at all except for emergency braking, though usually it's an opt-in mode. Look for something like "one-pedal" or "single-pedal". Sometimes it's a physical button with a foot (not) pressing a pedal.
Can't you just tell the car to downshift using paddles, or force it into low gear using a gear limiter feature?
Yes you could do this fully manual but you get more fleet efficiency if it’s automatic.
Sounds like it would work fine for you if you but used it. “More fleet efficiency” is not a huge concern on downhills, you just switch back to the automatic regime when you’re at the bottom.
Although on the other hand the clutch does have a nice property, which is that it works regardless of the state of the control system of the vehicle. If my MCU decides it wants to accelerate me at 500 mph into a wall a hardware clutch would be a nice thing to have!
W.r.t gearboxes in EVs: there is definitely a reason to have a transmission in an EV, it's just that most manufacturers don't include one for simplicity .
https://www.youtube.com/watch?v=zsa-SxpiCU0 has Ken Block talking about how different driving a high performance EV is, though, since you have full wheel speed range without shifting. On one hand, you don't need to work a clutch to keep turbos spooled up; on the other, you have to be much more precise because you can't let the clutch slip for additional control.
In consumer EVs, though, the car won't really let your wheels slip.