Not here you can’t. They specifically ban anyone with covid like symptoms from entering which is like everything.
Besides what are the outcomes for using ICUs for covid. I bet long term outcomes are pretty dismal, that might be a good time to say unless you are healthy and under 55 if you need icu it might just be your time. Rationing care is a ethical and practical thing to do.
Mississippi was recently down to six ICU beds in the entire state: https://www.wlbt.com/2021/08/04/just-6-icu-beds-available-en...
Arkansas got to zero: https://apnews.com/article/health-arkansas-coronavirus-pande...
This isn't explicable with your hypothesis.
You can absolutely go to your PCP for a COVID test, and get your ear infection treated while you're there.