We have not had any experience treating cats with any of these treatments. I searched for research where cats were included in the studies, but could not find any evidence of it. Dogs are often used in preliminary studies for cancer treatments as their size and overall physiology is more similar to humans than the usual test subjects, rats.
Having said that, the mushroom manufacturers for turkey tail that is marketed to pets mentions cats in their description of pets who can benefit from their compound. As there are no side effects listed for humans or dogs, it seems likely that cats could take it too without adverse effects. Cats' nervous systems are more similar to ours than dogs' nervous systems are.