In the todays driving the gearbox cover does get hot as you can't drive at 50+mph all the time. In traffic the heat from the exhaust, engine compartment and heat blown back from the fan all goes to not only toast the bulkhead but also the gearbox cover. Even with Dodo Mat on the inside my cover gets hot. It's a fact of life on many classic cars. I talked to a Jensen CV8 owner who said the inside is unbearable in summer.
Iain