I have noticed some odd things with my wolves.
1. The wolves seem to suffer damage on saving and restarting a map. Their maximum health is 3348. In battle with a large number of monsters they might lose a 1000 health points. However when saving and then restarting a map their average health is between 30 and 50 points. Not sure why this occurs but I make sure that I have healing hands in my magic inventory to correct this.
Sounds it might be a bit like the way that when you buy a pack mule its max health adjusts instantly to the level required (according to the party level) but current health is started down at base level and has to recover from there over time (or be healed up as you say). Of course not exactly the same because once you've got a mule into your party then the actual value of its current health does save and reload correctly (at least I've never noticed a problem).
Yes that is true for a summoned creature that becomes a party member, but not for a summoned creature that is not a party member. The summoned creature has a max heath that they start with (a fixed amount) they do not level with the party level at least in DS1. I checked two other cat mansion summons the school girl and the beach girl. They start with their assigned health, then I checked their health level just before saving and again when restarting and whatever level they had at the save is what they have on restart.
Yes that is true for a summoned creature that becomes a party member, but not for a summoned creature that is not a party member. The summoned creature has a max heath that they start with (a fixed amount) they do not level with the party level at least in DS1. I checked two other cat mansion summons the school girl and the beach girl. They start with their assigned health, then I checked their health level just before saving and again when restarting and whatever level they had at the save is what they have on restart.