I wonder if the people objecting to your statement would object as strenuously had you had phrased it as “evidently mentally unwell”. The word “ill” seems to have triggered people into reading more into it than what was actually said. If a stranger sees me violently coughing and sneezing in public, they would be correct to say that I’m evidently physically ill. They’re not trying to diagnose whether the illness is a common cold, Influenza A, Covid-19 or any other respiratory disease.