Rally transmissions at least are very much manual. Along with most other race transmissions. They use dog-ring gearboxes, which are just really beefy synchronizing rings that let you just slam it into gear without decoupling from the engine. The paddles are electric, but they tell some pneumatic system to push a lever forwards or backwards.
F1 might use some decoupling? But I would expect them to work like most other race transmissions, by not decoupling.
There are computers that control the rev-matching, but that's technically on the engine side of things. There are sensors on the gearbox that let the controller know when to add throttle, but it's still very much not the responsibility of the transmission. There are also downshift protection to make sure you don't over-rev the engine, but this is also on the engine side of things, but it does block the signal from the paddle shifters.
F1 might use some decoupling? But I would expect them to work like most other race transmissions, by not decoupling.
There are computers that control the rev-matching, but that's technically on the engine side of things. There are sensors on the gearbox that let the controller know when to add throttle, but it's still very much not the responsibility of the transmission. There are also downshift protection to make sure you don't over-rev the engine, but this is also on the engine side of things, but it does block the signal from the paddle shifters.