The higher the level of refinement (with a hydrocracked base) the more "dry" it is, which means as you go from Group II -> II+ -> III -> III+ you get poorer and poorer solvency. But this also improves oxidation resistance and cold temperature performance, so it's a trade-off. This makes it more and more similar to PAO, which has extremely poor solvency, but excellent oxidation resistance and untouchable cold temperature performance.
So, the solution is to mix these bases with ones that have higher solvency like esters or AN's. You don't need a ton, and this is indeed part of producing a fully formulated lubricant and a properly blended product that uses either of these bases will be designed around accommodating their weaknesses while capitalizing on their strengths.
I highly recommend this paper from the STLE on AN's, which I linked in my thread on Dr. Rudnick (who does the formulation for HPL):
https://www.stle.org/images/pdf/STL...halenes for High Temperature Applications.pdf
It shows examples of major improvements in handling high heat with not only PAO, but also with POE.