Remember also that the varrora mite is not a parasite - it does not aim to kill its host - it is a symbiote
Now that is disputable.
Varroa lives on AMM to the detriment of the host. No advantages whatever, as far as I know.
It may lead to the death of the colony, but robbing when the colony is failing will advance the distribution of the mite, so that can be seen as a typical parasite (think liver fluke in sheep, maybe).
We are suggesting dog fleas, etc, are not parasites?
Funny how meanings change over a generation or two. Symbiosis was living together with mutual benefits in my era (nitrogen fixing bactria in legumes per eg).
A bit like electrical cells and batteries - go back to WWII and a battery was definitely a group of similar items (as in anti-aircraft batteries). Now very few (are able to) differentiate between an item and a battery; basically lazy or uneducated - take your pick.