I don't have experience with that type, but my Umbrella survived being trimmed down 25% by a puffer, one Ricordea survived being trimmed down 75%, and another Ricordea survived being trimmed down the size of a small piece of gravel (probably 90+%). It'll probably recover. From what I've seen of mushrooms, as long as the mouth is intact (or even a portion of the mouth) it'll recover. It's a coral people frag by slicing it like pie.
The Acan I'm not sure about. Greech can maybe give you some insight into that. Are those polyps beaten up or that pieces of the mushroom on it? At the very least the colony should be fine, even if you lose a polyp or two.