You don't understand the purpose of a pop-filter in general, or the purpose when the microphone is above and to the side rather than directly in front of the mouth?
I don't understand anything in this setup:
There is a half reflecting room, with foam on the damped half. It is well known since ages, that foam doesn't damp much below ~ 800 Hz. already from the size it cannot even be seen as a LEDE-system....
If you listen to the sound of this cabin:
https://www.mikerindersblog.org/wp-content/uploads/2022/09/Mike-Rinder-Short-Studio-Excerpt.mp4?_=1
One wonders why are there these expensive microphones at all ? Even two of them ? How could they be able to improve the sound over a $ 15,-- chinese one ?
Ok, they don't have a serious speakers cabin. But why then place the microphone (more than ?) half a meter away ?
Now the microphones a (more than ?) half a meter away from the speaker..... sideways.... so no danger of any pops from the speaker.... maybe from a fan in the speaker cabin ? Or from hurricane Ian ?
A pop-filter or in reality more a spit-filter was invented to protect the microphone by keeping some singers in a safe distance (> 5cm) from the microphone.... And yes, the ones we used were made of nylon stockings over a wire hanger.
So why use a pop-filter ? To show that they have two expensive microphones and even a pop filter ?
For two microphones side by side the pop filter is too small, why not use a second one ?
>>> Now that I think of it a bit better, off to the side may well avoid reflections between the performer
>>> and the desk / lectern, more / better than from directly ahead-and-above.
You forget the reflections of the glass window which should be in front of the speaker. Why not use carpet on the desk ? Why not use in this environment a cardiod microphone from front-below the speaker ?