Great! Now Temperance wants to know...
They proceed to test things.
It turns out that sorcery works alright with local biology.
Local magic doesn't work through the doors, not even to just perceive things. They can't find local magic compatible worlds with the key. This means that anyone that goes through the door is effectively blind, but the doors can still be made useful with a minimum ingenuity.
You can wish using the crystalwishes but they can't repair themselves with the local version of light. This can be somewhat bypassed with the doors, but that has the risks associated with keeping the doors open.
Local metamagic is pretty terrible at understanding or interacting with foreign magic.