Actually, you are seeing the effects of the HoS line's ATK buff, the same with Bih'li... it also has an ATK buff.
Wolf Spirits do not have inate Spirit of the Wolf. Your pet is not truely a spirt of a wolf, it is a spirit of yourself, projected in a wolf form.
DEX has absolutely no effect on procs in SoD.
No STA in HoS, no STR on HoS, no AC on HoS... the HoS line (usually refered to on these forums as Focus) is a very different buff from live. Not that HoS has AC there either. I can promise you the HP buff portion of the spell does not work. ATK portion DOES.
Check that STA buff again on a pet with nothing BUT the STA buff. Either you are mistaken, I am mistaken, or there is another effect at work. 60 points of STA does not seem to add 100 hp to my Inner Spirit, which seems to have about 2000 hp natural. However, even if it does,it would not make any difference in the fight or make it worth casting. To argue otherwise is to argue that Inner Fire is still a useful tank buff at 65.