Cold Weather Corrections - Departures

[Gards]

There is a small debate happening within my company as to whether or not you correct minimum published altitudes on Departures in a radar environment.

Question is to Terminal and Approach controllers. Are the published minimum altitudes on a SID designed to take into account cold weather effects on altimetry? In other words are you expecting or NOT expecting pilots to correct for these altitudes?

Thanks to anyone who can point me to a documented reference either way!