As you’ve already said, 3rd to 6th are phenomenally different. Above 70mph, unless you want a massive shove, you can quite easily leave it in 6th and accelerate to 80 when a gap opens up, rather than change down to 4th. 5th is probably the least used gear on my car, if I’m maintaining a speed between 30 and 40mph, I’ll have 5th, but if I’m accelerating it’s generally 3rd, then 4th to get to the speed I want and slot it into 6th to maintain it.
I wouldn’t expect too much from 1st and 2nd unless you have some extremely grippy tyres. Even in bone dry conditions without the box on, I could cause wheel spin in 1st and 2nd with my Bridgestone tyres. With the box on, you may get nowhere by hoofing from a standing start, except massively shorter tyre life.