I have green striped and red mushrooms. The green striped are more invasive. They have gotten to the point of budding off babies that wind up anywhere...like in the middle of zoa colonies. They will smother GSP. The reds aren't as bad but still like to creep up rocks.
Franks F-Aipasia does seem to work, but you have to completely cover them for a day and siphon out all the goo.
I have been blasting one of my main rocks with a powerhead to see if they release, but they just hunker down.
I'm hoping stingy hammers can keep them at bay.