Some have been cured with just hcq and an antibiotic and, presumably those people were not zinc deficient in the first place but it is a chance not worth taking. A years supply of 40mg zinc tablets is a 25 dollar item on ebay all day long.
In general what you said is correct.
But a caution, zinc can be toxic if taken at high levels.
I take B-6 and Zinc for nerve damage in my hands. Only take this when they are hurting.
So, some good common sense should be applied.