Without giving away your secret sauce, what are your approaches to the cleaning process? Is it a combination of different passes of algos or is it something more generic and "sausage machine-like" like a neural network?
That scenario seems really appealing for conferences, even if it just quietens down the verbal ticks, but I'm guessing if the lag is too great it would get like a bad lip sync issue
What it sounds like the GP is after is something more like hiss and pop removal (to use an only vinyl analogy) and that’s a different and also simpler problem to solve. I’d wager there are already tools on the market for that.
To me this seems like it could be worthwhile even if it results in silence or less prominent umms and other filler - I've sat through enough conference talks by technically gifted people who I very much wanted to hear but who unfortunately make their talks much harder to follow due to the ticks. It might even help relax some nervous speakers if they knew any of these that creep in were being suppressed.
With an EEG cap, though, I bet a smart person familiar with the methods could bash something together in a day that would work.