No, I think it was general advice
I remember asking the pump trainer because I was worried and nervous when I started my pump. He said insulin should be at room temp before putting it into the pump because if it wasn't, bubbles could form as it warms up as you're wearing it.
At the moment I keep my vial in use in the fridge and just take it out a bit before filling my reservoir, then put it back in the fridge. I've no idea if that particular course of action is correct, but a reservoir lasts me a while and so I don't want to start a vial then have to watch how long ago I took it out.
You could ask your pump nurse
I used vials and syringes when I was first diagnosed and kept the vials in the fridge but took them out a few minutes before my injection. However, that was 22 years ago and I can't remember why I did this : D
I was also advised that it was better to have a room temp pen cartridge when I swapped from twice daily syringe injections to MDI with insulin pens. Again, to reduce bubbles.