Here are the relevant parts I'm aware of (ignoring special cases for Bjornaer and Lycanthrope):
(Core Book, p. 117) When a creature or person who has an Intelligence Characteristic is shapechanged, Animal spells that affect the mind are not effective. Instead, Mentem spells are needed. However, the body of such a being may be affected by Animal spells, including spells like The Falcon’s Hood (PeAn 20)...Most shapechangers do not change their essential nature, which remains human, so their bodies can still be affected by Corpus spells.
(HoH:MC p.22) While he may be affected by Animal spells, he may also be affected by Corpus and Mentem spells, and any ongoing magics using these Forms cast prior to transformation remain in effect... However, this type of shapechanger is still a human in an animal shape, and so Corpus and Mentem magics are effective, as are Animal spells.
In the core book we have "may be affected" by Animal and "can still be affected" by Corpus spells. HoH:MC uses "may" for both Animal and Corpus for item/spell shape shifting, and then it switches to "are effective" and "as are" for non-item/spell shape shifting.
As OneShot points out, neither "may" nor "can" specifies "must" / "any and all." If we require some equivalent to "must" / "any and all," then the same limitation would seem to be true for both for Animal and for Corpus. We should also note, though, that for the non-item/spell shape shifter, the core book's same "may"/"can" statement becomes "are effective" and "as are," which is in the "must"/"any and all" vein. It could be that HoH:MC is showing there that "may" and "can" are supposed to be read as "are effective" generally, or it could be that they're just supposed to be read that way for non-item/spell shape shifting because the magic is no longer active.
My personal opinion is that not reading "may" and "can" as "any and all" is a difficult interpretation, because it's then saying both Animal and Corpus might sometimes work and might not work at all, and the books are refusing to give any real guidance. Do we then have to decide for every Animal and Corpus spell if it will work or if the other version is needed or if both work or if neither do. I think the interpretation of "may" and "can" meaning "any and all" end up much clearer and cleaner as a result.
Also, I didn't think we were saying no Muto spells can stack, just not effects that do the same thing. If I use MuCo to grow taller and then MuCo(An) to have Eyes of the Cat, do these not both work fine? MuCo(An) shape shifting human to wolf and then MuAn wolf to bear does not violate the stacking of the same thing.