So like, if there was a swap where like, Jade and Rose switched places (I.e., Jade Lalonde and Rose Harley), they'd still be a Witch of Space and a Seer of Light, because their true nature is the same?

If you had just a location swap, like, the exact same sequence of events up to their births, but Grandpa takes Rose from the New York lake and Mom takes Jade from the Crocker Factory, even though they’d grow up as Rose Harley and Jade Lalonde, they would absolutely still be the Seer of Light and Witch of Space respectively.

If you want to swap them Classpect/Symbology/Color-wise though, it depends on how you wanna do it.