In colour films the layers degrade at different rates at a given temperature, causing colour shifts, and the higher the temperature the more likely it is for a random 'detection' event to occur, which fogs the film. From my understanding, both of these to some extent are proportional to ISO. With photo paper, it's only really the fogging that you care about.
Paper has an effective ISO far lower than film, and being silver based rather than die, I would expect the fogging effect to be less apparent. Personally, in this instance, I might just take the first few sheets that have likely seen the worst of the heat and develop them for a lot longer than one otherwise might when exposed to light from an enlarger. If the paper fogs after development, you know the heat has had some effect, and if not then you're good