The name syncing is still only one way (ZUI → HA), as already mentioned. That hasn’t changed with the new app.
You can try and see if this still works: https://community.home-assistant.io/t/deprecated-switching-z-wave-js-addons-with-minimal-downtime-z-wave-js-official-to-z-wave-js-ui-community/409904#p-1836792-step-11-optionally-export-device-names-and-locations-10