I don't understand where ulva "comes from" for all of you people if it didn't exist in the tank prior to the scrubber
All types of algal cells are in all aquarium water already, in small amounts. Just like your body has cells of disease bacteria and viruses already, in small amounts. Given the right conditions, the cells take over.
The reason you have to seed chaeto is because the cells are a less-progressive specices than GHA cells, and thus get out-competed by the GHA, sometimes even inside a chaeto reactor. So conditions (such as seeding) must occur for chaeto to grow beyond a few cells.
GHA cells even blow in from the wind, and can "seed" a batch of RODI water or even 18 megohm lab water in the desert. You even have algal cells in your eye. But corals etc have billions of the cells per square cm.
I do think it's helpful to state that the chaeto can be overheated pretty easily
Most all algae can. They just don't need to be able to survive in warm or hot water in the wild. Cold yes, hot no.
are we talking about purely which algae grows faster in any conditions?
Not so much the algae, but the device.
How is a scrubbers uptake when the screen is cleaned? Clearly it will not have the same export at that time
Correct, a strong scrubber should have split (or triple) screens. Or else run 2 or 3 scrubbers.
Then we have to ask, does it even really matter?
It matters when you have to choose one or the other. Most people have to. And as tank size decreases, the differences increase.