I agree the advisory at the top is appropriate.
It goes like this:
We can all be, or at any time become, allergic to bee stings
We can all be, or at any time become become, allergic to other bee products, including but not limited to, propolis, and royal jelly.
Some individuals can be, or at any time become, sensitive to a lot of different things, others to one particular thing. It's sensible for the former to be cautious over new things.
Cross-sensitivity to various types of drugs is well known.
There is limited (scientific) evidence of cross-sensitivity of a broader kind, for example if you are allergic to almonds you may also be allergic to peanuts (but maybe because 'nuts' all have something in common, we don't know).
You may be an individual who happens to be allergic to almonds and bee venom, however, being allergic to almonds does not make you allergic to bee venom.
We have really have no idea what triggers these reactions or what governs people's response.