Your reply could be misleading to others . So for their sake I will clarify
Assume bees like 34C so +100C is the same temp differential as -66C.
the heat flow is still only 6W.
As regards "heatsink".. If the surface area has not been increased, or the emissitity or refectivity been not been signifcantly adversely changed, the description "heat sink" does not fit unless you are attaching extra passive or active air moving features.(didnt notice that being mentioned)
Further A tight fitting cleanish aluminum roof reduces heat loss and heat gain rather than increase it
However The emissivity and reflectivity of the rubber is probably no different to tar paper.
Thus the rubber roof with insulation underneath is within the range of conditions that bees are subject to
Tree nests.
The bulk cooling is at the leave stomata where the water evaporates thats 10m+ of oak away so is irrelavent.
The water flow is through the vascular cambium which is in the outmost layers and this flow stops in winter.
This part of the tree is relatively uninsulated and the water flow can be regarded as being at ambient temperature by the time it gets to 5m (typical bee nest height) and is therefore insignificant.
The bulk insulating the bees is secondary xylem which has water content but no water flow.
How do I allow myself to get drawn into these things?
The evaporative process cools the leaves and is remote from the trunk - that much I agree with. However, that's not what I was getting at. It's the evaporative process which is the engine that draws the water through the tree (coupled with capillary action) which in turns helps cool the tree - bit like a 'cold' running water in a heat exchanger. By the time that the water reaches the leaf the temperature differential has dropped through warming (during transport) which helps evaporation at the leaf.
Anyway, if rubber rooves aren't a problem then they aren't a problem - just so long as the bees are happy and don't have to work too hard to cool themselves.