Can I backup my configuration on one LEDE router and restore it to a different one and what are the requirements of doing so?
Technically yes, as the config fils are just files. But blindly restoring the backup in a different type of router can lead into major problems, as some settings are hardware related.
Of the config files in etc/config, both network and system are directly related to hardware, e.g. switch settings, LEDs, lan interface etc. Also wireless includes hardware stuff.
So you should not restore those in a different router.
But restoring to a similar router should work ok in most cases.
Thanks that was the information I sought.I did try to search for it but it was fruitless.
What you could do is unpack the backup on a regular computer (it's just a tarball) and use them as a reference to reconfigure your new device. Like @hnyman says, just restoring all of them indiscriminately isn't a good idea (especially network config etc.).
I saw that it was a .tar, that's good to know.