The statements were

Buy local

or don’t buy honey

If you are buying local then you’ve already satisfied the first half of the OR. It’s an option, if you aren’t prepared to buy local then don’t buy but also not buying honey at all is an option instead of buying honey.

Buying non-local mass produced honey is not an option, and won’t help you with a sore throat any more than sucking on a sweet will, and you aren’t likely to be buying honey anyway.