pretty close but not exactly correct.
though off topic, every foreigner whose residency is supported by a spouse gets JFRV/ARC (resident visa/certificate for the purpose of joining family). It doesn’t depend on the status of the sponsoring spouse (foreigner/nwohr/citizen, arc/aprc/tarc, work/study/investment etc.).
If sponsoring spouses fulfill some requirements, sponsored spouses have work right, or can apply for open work permit, or can get work permit for part-time specialized and technical work.