Algae will not hurt this orchid's roots. I wouldn't worry about it.
Agreed. It’s only at the surfaces exposed to light.
Besides, if you apply something that kills the algae, you would then have a pot full of dead, decaying vegetation, and that can break free, settle in the pot and suffocate the roots.
Since you seem to have the culture down, if you really want to get rid of the algae, repot and use an opaque plastic pot.
Oh, I didn't even THINK about the potential for all those nutrients being freed up, and the microbial bloom that would follow.
Except that’s not what would happen.
The Physan would effectively wipe out the microbes and kill any adventitious ones for about the next 3 weeks*, so you’d end up with a mass of dead organic matter that’s not decomposing, but becoming a suffocating sludge, instead.
* A customer asked the Physan company about that in reference to the use of probiotics, and they provided the waiting period.