You are quite correct.
The situations I described were in regards to an allergic reaction to honeybee venom.
With bees, it is the allergic reaction to proteins in the venom that may become life threatening, not the venom itself, unless a truly horrifying number of stings are received.

I assumed a person could develop an allergy to garter or hognose proteins, in a manner similar to bee stings and other allergens.
Am I mistaken?