SCRA Protection v. State Vehicle Registration Requirements

Alright, I've got a question for any bored legal peeps on here. I've reached out to my local base legal, but while I wait for their answer I figure it won't hurt to entertain y'all.

SCRA states under Residence for tax purposes—Sec. 511 (50 U.S.C. app. §571)

>Personal property of a servicemember and his or her spouse will not be subject to taxation by a jurisdiction other than their domicile or residence while stationed at a duty station outside of their home state. > >“Tax jurisdiction” is defined to include “a State or a political subdivision of a State,” which would include the District of Columbia and any commonwealth, territory or possession of the United States (Section 101(6)). “Taxation” includes licenses, fees, or excises imposed on an automobile that is also subject to licensing, fees or excise in the servicemember’s state of residence. “Personal property” includes intangible and tangible property including motor vehicles.

So, can states mandate that military members must register their vehicles in that state? Does a vehicle registration fall under the protection provided against fees?

Asking because I've got one trying right now and not answering their phone.