Some research from Sweden appears to show that unmanaged populations will eventually reach a state of equilibrium with varroa. They put 150 colonies on an island and monitored them for 6 years. A small number of the original colonies survived the term of study and the population seemed to adapt enough to ensure survival.
This happened over 7 years ago since 1999
What they know about bee stock of Gotland? Bees do not show hygienic sensitive behaviour or extra grooming.
Here is a doctor research 2012 about Gotland bees.
Host-Parasite Adaptations and Interactions Between Honey Bees ...
pub.epsilon.slu.se/9036/1/locke_b_120912.pdf
................However, when the mite reproductive parameters were investigated
more closely, differences between these two populations became apparent. In
the Bond colonies on Gotland, delayed egg-laying by the mother mite was the
most frequent cause of failure to produce a mature mated female offspring
before eclosion of the bee pupa. The second major cause of reproductive
failure was the high proportion of dead mite offspring (Table 1). In contrast,
the mite surviving population in Avignon had a significantly larger proportion
of infertile mites compared to the local control colonies and delayed egg-laying
was a secondary contributing factor to the majority of mite reproductive
failures (Table 1). The proportion of infertile mites was also significantly
different between the two mite surviving populations, demonstrating a distinct
difference between them regarding the major parameters involved in reduced
mite reproduction. Furthermore, there were no drastically significant
differences between the control colonies on Gotland and in Avignon,
highlighting that these surviving population are in fact unique among the larger
managed population of honey bees in Europe
Neither hygienic nor grooming behavior was found to be significantly higher in
the Bond colonies than in control colonies and therefore they are not
considered likely explanations for the survival of this population.
The amount of adult bees, worker brood, and drone brood were
significantly lower in the Bond colonies than in control colonies. Therefore, the reduced population size of the Bond Bee colonies may be an adaptive characteristic to limit the mite population growth and could
perhaps be an even greater adaptive strategy than their ability to reduce mite
reproduction.
Gotland is quite a big area.