Not claiming expertise here but I always considered left foot braking for scenarios where the braking is done in cases where gear changes are not involved, you just need to slow/settle the car and then get back on the gas asap.
So in your case above you just pull neutral as soon as you back off, and then rev match to the about to be selected lower and then just pull the lower gear? If you could get that correct 100% of the time, even for cases where you are going from, say, 6th to 2nd then great but I can see it being tough on the gearbox (is it a dog or synchro gearbox?).
Get it wrong and I can see it being expensive. With dog boxes I have heard of drivers upshifting without using the clutch (pull the next gear when the rev limiter kicks in) but this is also hard on parts.
Yeah i guess it would be quite hard on the gear, probably for more serious race teams who are rebuilding their gearbox every couple of races, and it was a dog box.
My Harley has a slipper clutch. I don't use the clutch on the way up, but not confident enough to not use it down, so I use it.
I thought gearing down (in car and bikes) when on a track, was used as a brake as well. What I'm getting at is if your rev matching would the engine brake be as usefull? Or is gearing down more so about the correct gear selection to get out of the corner, and brakes for braking?
I think that ideally you want to use as little engine braking as possible and rely mainly on your brakes, my thinking behind this is that it would be more consistent and therefore efficent as the tyres only have a certain grip limit and you want to brake as close to that grip limit as possible so if you add engine braking either your tyres would lock up or you would have to ease off the brakes to counter the added resistance of the engine. I guess it all depends on your setup though and also brake balence