Heh! Well, he's definitely overprotective of Iris--that's his sister.

[He pencils in a girl with a big smile and a tartan skirt next to Gladio. She is exceedingly tiny, probably to squeeze in next to all that meat. Surely siblings born of the same parents would not exhibit such a crazy size disparity. Perish the thought.]

But with the rest of us... he pushes, especially with Noct. Wants us to do our best, be strong enough not to need him. I think he takes it too far sometimes, but Iggy... Iggy usually knows when to stop him.