Yes, I think this is one thing that doesn't get cached as an XML file, mainly as it's only read at launch usually.
fusionpbx=# select * from v_sip_profile_settings;
You should be able to export this specific table using pgdump or COPY commands to a CSV import. Something like:
pg_dump --table=v_sip_profile_settings --data-only --column-inserts fusionpbx > profiles.sql
AS ALWAYS, BEFORE YOU DO ANY SQL WORK. CHECK YOU CAN RESTORE FROM A BACKUP.