In franchise movies, why don't directors do more than one?

They ask for 5 times or more than what they were paid in the first.

In my opinon

Could be precisely because it is a franchise. Producers want a variety of creative input. Imo, it does give the franchise a fresh appeal. Creates excitement in marketing.

Between John Glen, Guy Hamilton, Lewis Gilbert, and Terence Young, they directed 15 of the Bond films.
Doesn’t seem like they avoid doing more to me.

So they don’t get two Quantum of Solaces

Spielberg/Indiana Jones anyone?

Or Alien/Prometheus. Or the Star Wars Prequels.

I suspect that when a movie proves a success, the director might be difficult or impossible to contract for a sequel as they get booked for other movies, maybe for years.

In the Harry Potter films, I think there were 8 films and 4 directors.