Question regarding switching classes

If you switch from one mage type to another using the item you buy with the emblems, what happens to your class perks?

I’m hoping the answer is that you keep the skills but frozen at the level they were at in your previous class so I can eventually get all of them, but I suspect that this won’t be the answer.

Points spent on class-specific perks are refunded, so you’ll have to re-allocate them to the new class perks you gain access to after changing classes. A Chaos Mage will not be able to utilize the perks from a Death Mage.