+x+xUV stability and Heat resistance are entirely different and unrelated.
An oven post cure is done usually to maximise the HDT of a part, especially where exposed to higher temperatures so that the part will not go soft when exposed to heat in service.
A UV protective clear coat is an entirely separate process. The only overlap is if the lacquer also needs a postcure for heat reasons.
Does post cure have a significant effect on strength and stability?
With most room cured resins it does make a noticable difference. Its hard to guestimate but perhaps 20% improvement at best? Where it does help significantly is with HDT of the cured part.