To "qualify" as "local" honey, the hive it came from needs to be less than 50 miles from where you consume it. The closer the better. That's so the pollen "contaminating" the honey has a greater likelihood of having the pollen(s) you are sensitive to in it. I get people from Austin all the time wanting my homey because it's "local" and they know me, but they live 60 to 100 miles from me.
One thing I do is mix local honey (from my hives 1/8 mile away) 50/50 w/ Bragg's vinegar and drink 3 Tablespoons worth 2x per day. Doing so is supposed to prevent colds and such. Don't know if it's true or not, but annecdotally, I have only had 1 cold and 1 sinus infection in the last 3 years since starting this self-medicating regimen. I used to have a sinus infection 3-4x/year and multiple summer/winter colds.
Store bought honey has almost zero pollens in it because the major bottlers heat it up so it runs faster when they bottle it. They also filter it with extremely small filters that remove as much "contamination" as possible. The heating causes major flavor and aroma loss due the volatile nectar fragrances to "oil off". You have probably seen honey that has crystalized, aka sugared up. The sugar crystals start forming around pollen and other items suspended in the honey. The fewer the items, the longer it takes to sugar up. Called "shelf life", baby. The honey vendors don't want complaints about it sugaring on the store shelves, much less at the consumers' homes. If the pollens are removed, they are not there to "help" with your allergies. I'd rather have pollen in my better tasting and smelling honey, than not having sugared honey. Sugaring is easily corrected.
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