We are getting further and further away from the original question, yet I will give by 2 c.
Regarding any sacrifice, magic-users relying (frequently) on it to power their spells should be mindful of the Code saying "I should not bring harm to my sodales". To my understanding, dealing with demons was forbidden initially on the ground on moral or religious reason but because it would cause sooner or later trouble. Whether it would be attracting the Church's attention or because demons will simply cause trouble.
By the same token, I believe reading in RoP: Infernal that Ablating demon is not so well considered by Quaesitores, because even if it destroys the demon, recurring usages has a chance to attract Hell's attention who might decide to take action against this gang of wizards who like to leach demon's power.
So sacrificing a chicken from time to time bear probably no consequences, however sacrifice a great stag might anger forest spirit, genius loci and what not. There are no specific rules preventing it, but it is another story seed for a ST: quaesitor advising to refrain from such practice (whether there are legitimate concerns or it is simply a political manoeuveur by a rival mage is entirely up to the story), spirit putting a geas on the practitioneer or simply going vengeful berserk ("You killed my favorite hen!").
Finally, it is possible that practicing regularly sacrifice in the same spot might create an aura, or taint it - more story element.