Insulating food lockers

We use the two lockers above the kitchen for food storage.  When its sunny they become warm which isn't good for some of the food.  To counter this I am contemplating lining the outside wall and roof of the lockers with something like this:

https://www.toolstation.com/ybs-general-purpose-thermawrap-insulation/p16779

Has anyone tried this and does it work?  Has anyone tried anything else or do folk just put up with it as we have for the last three years?

BornAgain wrote:A cool bag in one of the lockers?

Thanks.  That's what we did to start with but it means dragging the bag out to get at its contents.  We have since put free standing shelves in both the lockers to help with access and keep some order.

The sort of food I am talking about is bread, fruit and chocolate titbits.  The fridge is nearly always full.