When Aconite gets set down on the floor, Alistair bounds over to the other dragon. He makes a few chirping noises as his attention is drawn between Aconite and Strange himself. As for the wizard, he's amused at Shura's confusion.

"Taking your hand?" Strange answers, as if it's the most obvious question. Seriously Shura, this is fairly obvious. "You can't see. It's either this or I lead you around by the shoulders and frankly, this is more dignified."

Plus, he gets to hold Shura's hand. It's ulterior motives and being nice!