Most integral supporting character in the mythos

[failo.legendkiller]

That's more a point in favour of Robin not being integral if something so simple as which Robin is a deciding factor.

Alfred is important or not
Jim etc are all important supporting part of the Batman regardless of changes.

Again, Damian is a totally different "Robin" he doesn't embody what Robin stood for decades. He is the son of batman, not the sideckick, not the apprentice, not the partner.
This diffrence is crucial for me.
I like Bruce mentroing and patrolling with a Robin, not struggling to be a good father.
The dynamic Duo, Batman & Robin is the myth.