The difference appears to be that THC honey actually contains THC, unlike this honey, which merely contains its precursors in low quantities.

I was specifically referring to the brand name and I, unfortunately, can't speak to the differences with never having seen the bee pollinated honey seen in the article.

I will shed some light on THC infused honey (and edibles in general). Edibles are typically made from the lowest quality part of the plant known as 'trim'. For edibles the typical choice is ethanol for extraction which also extracts and concentrates any pesticides or sulfur used(sulfur burns are used as a pesticide alternative). Then that extract has solvent removed via rotary evaporation and that oil is mixed with honey and packaged in someone's warehouse. You'll often see honey and THC separate into two visible fractions if effort wasn't put into proper formulation.

For the honey in the article the beekeeper is hoping the trichromes(THC containing) of the marijuana plant will be carried and incorporated into the honey. I highly doubt this will work unless there are other instances of pollen products showing up in honey...but it's great marketing.