There's a frequency for uncontrolled fields the Common Traffic Advisory Frequency. You join the frequency and ordinarily it's silent OR you can hear other pilots who are already in the same area or on the ground, co-ordinating. You listen and build a mental image of anything happening, then as you get closer, even if nobody else spoke yet, you announce your intentions.
The accident plane will be constantly reminding people of its status on this frequency when there isn't a tower. Other pilots will be talking in response to each other but this system can't understand what they're saying. So it will just explain periodically what's going on. Something like:
"Springfield Traffic, November Six Zero Hotel Lima with Emergency Possible Pilot Incapacitation. Final Runway One Six. Full Stop. Runway Will Close After Emergency."
I can definitely imagine, especially when this technology is new, other pilots trying to ask questions
"Zero Hotel Lima, did you say runway will close? I was planning to land there after you. Do you know when it will re-open?"
The system can't understand their question and won't answer, but their training should teach them De Niro's line from Ronin. "When there is any doubt, there is no doubt". Something is wrong, they should divert and leave the emergency plane to do its thing.
The vast majority of reasonable places to land something small like these $2-3M planes will not have a tower at all, and for some of the rest the tower is only part time, but your emergency may not be, so it is usually going to be talking on CTAF and other pilots will just have to make new plans to work around the emergency.