This is Gulfstream's take on those type of sunscreens. Are the King Air's windows manufactured by PPG or GKN?
ALL (ATA 56): Use of Internally-Mounted Reflective Foil Sunscreens
By Denny George, Customer Support Mechanical Systems Group
At last week's Customer Advisory Board meeting, at which PPG (manufacturer of the windshields) was a featured supplier, an operator asked PPG about their recommendation for using reflective sunscreens on his aircraft.
PPG does not recommend the use of internally-mounted, reflective foil sunscreens for use in aircraft with windshields they manufacture. The long-term effect of using this type of sunscreen on PPG windows is not known. When used in aircraft to help keep cabin temperatures down while the aircraft is parked, there is a potential for the internal temperature of the windshield to rise due to reflective heat/UV, possibly resulting in damage to the windshield. Possible side effects are air bubbles or delamination caused by this overheating condition. Either one of these conditions could adversely affect visibility through the windshield.
Neither does PPG recommend the use of an externally-mounted sunscreen.
If windshield covers are used, it is recommended that both the outer surface of the windshield and the contact surface of the cover be thoroughly cleaned to remove any debris that may scratch the outer surface of the windshield.
These recommendations from PPG Industries should be taken into consideration before using such devices.
If your aircraft is in warranty, and Hawker Beech will warranty a delaminated windscreen, then I would say go ahead and use them. They do reduce cockpit temp, and that is probably beneficial for your avionics. Probably every OEM will tell you not to use them.