The bees' use of the sun for navigation, when possible, and local landmarks when cloudy, is well known, so bees from the southern hemisphere have no reason to suffer a disadvantage in the northern hemisphere, as it is well known that bees very quickly update their "internal ephemeris" when moved.  The work of Bill Towne of U Kutztown goes into this in very elegant and exquisitely-designed studies, for example, https://doi.org/10.1242/jeb.084160 which explains the preferences of bees as to the multiple options they have for "navigational systems". 

But "the sun moves across the sky the wrong way" is an idea to be discarded, as the sun still appears to move from east to west in both the northern and southern hemispheres.  In the northern hemisphere, the sun is consistently south of one's local zenith, while in the southern hemisphere the sun is consistently north of one's local zenith.  

The sun will soon (Dec 21st) be at its lowest in the northern hemisphere, but at its highest in the southern hemisphere.

To assess the amount of sun any one location will get, one can use this chart, which it to be printed onto clear "overhead projector" film at any copy shop.  The article explains the use, for all possible locations on the planet.

https://bee-quick.com/reprints/sunny.pdf

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