As much as I want to argue that everything should be backed up, I realize that consumption devices would be a waste of time to backup if you are careful not to create any new data on them.
I have a couple of Linux Mint Debian Edition instances that I intentionally do not back up. I have Android devices (including Kindles) that I do not back up.
As long as the person is rigid in not creating data on the ‘disposable’ systems, I agree with you.
Probably a bit extreme but another approach worth mentioning is mounting ~/.cache as tmpfs. Instead of cleaning it periodically, you just let the OS handle it by wiping it on every reboot automatically.
You can do it by adding something like this to your /etc/fstab: