As a player, you do that?!
As a vassal, I just appropriate land until I'm stronger than my liege, and then overthrow him.
Strengthening the council doesn't just weaken the liege, it weakens the title itself, so when you do finally take power, you inherit a hamstrung title,
Also a weak title/liege is bad for vassals, as it invites invasion from heathen neighbours.
Overthrowing a King without weakening the realm in the mean time is the ideal, and a strong council is completely counter to that.
It's not like vassals couldn't keep their liege in check prior to Conclave's council mechanics; there's still the tyranny cost of unjustified revocation/imprisonment etc protecting the vassals as a collective.
Well... I just keep empowered council as the liege. I rather have to bribe occasionally to have what I want done than fight wars that will cost me money anyway, waste levies and time. Besides, let's face it, my ability to expand is more constrained by claims than anything else, and claims take time to forge. So, I'm kind of a bored AI that has nothing better to do than plot against his liege. Other factions are pretty pointless (I don't care about who sits on the throne if he's of my religion...).