Technically speaking the crafting process is another item that is also subject to temperatures and while you’re crafting the food does get colder while you’re technically “cooking”. But in reality you’re just crafting, so temp rules apply. It’s also the reason why you can start with fresh ingredients, interrupt the process, leave it, and come back to finish crafting it and end up with a rotten result.
I think the ingredients start hot the moment you craft and get colder the longer the craft goes on. I recommend cooking in a heated room(little vehicle heater 1x1) in winter. It’s dumb, I agree, but it’s how it is.
As for not being able to use frozen items, I do not understand your issue as I use frozen meats, etc, all the time. Everything goes into fridges that freezes the edibles next to my cooking area and are always available for cooking, despite always being frozen.
*dev mode on*
This is not a fact, this is personal anecdote (no, youtube videos don’t count).
Prove it by linking to scientific publications (preferably multiple) in established scientific journal(s).
*dev mode off*
Well then…: This is called the Mpemba effect (yes, I know, it looks like someone hit the keyboard with his/her fist and/or head, but that’s still how it’s called - named after its “(re)discoverer”).
You can find the sources of this phenomenon at the bottom of the linked page, feel free to choose one/multiple of who you trust.