For me ideally the mechanic would work like this.
Summon the wolf = Entry animation
Wolf dies = corpse left behind
Win the fight with the Wolf alive = Leaving animation
Wolf turn limit expires mid battle = Leaving animation
The next part I am on the fence about.
I think this might also work well for the elemental summons. I often feel punished for summoning the ice elemental and having him die after the battle. As I spend more time than needed to escape the icy surface he left behind.
At the same time the elementals generally have more power as a summon with the ability to cast an elemental spell so the extra caution needed could simply been seen as balance/ fitting of an elemental summon.