Does the ending choice depend on the player character?

I’ve finished Divinity: Original Sin II playing as Fane. I’ve initially agreed with Lucien to his plan regarding sealing the Veil and removing the Source from the world (only to make the final fight easier – otherwise you have to fight both Lucien and Braccus). However, after killing the final boss, you can decide the destiny of Veil – and for me some of the choices were locked off (some for obvious reasons – you can’t rule with the Doctor if you’ve killed him), basically leaving me only with agreeing to Lucian’s plan or releasing the Eternals and imprisoning all mortals.

If you play as another, pre-made character, is your choice also limited?