[aznumeric]

As far as I know ear, nose, throat doctors (Otolaryngologists) don't treat eyes and they are called 'Ear, Nose, Throat' doctors, there's no eye in the name. Doctors that treat eyes are Ophthalmologists and Optometrists.

[DoreenMichele]

https://medical-dictionary.thefreedictionary.com/EENT

It's possible it has fallen out of favor. I'm a tad on the old side.