Does hot water freezes faster than cold water when kept under insulation?

Answer 1

The question is unclear - Which, if not both, temperature waters are insulated? Do the insulations, if both, vary?

I am assuming we are purely talking liquids freezing here rather than including vapour.

Cooling water down relies on the transmission of heat away from it so, assuming similar insulation:

Other combinations - No, cold would freeze first.

In similar conditions, hot water still has to loose the heat energy and become cold in addition to the time to chill from cold to frozen.

Hot uninsulated vs Cold insulated - Possibly, depending on the insulation.

If the energy loss were reduced for the cold water then if could be the case that hot water would freeze first.

:-)