They may. Typically with injections you may get short term relief, if they work and over time the steroids help ease the inflammation.
Rhizotomies are nerve endings burned. They typically do test injections to see if the lidocaine eases the pain. It helps determine they are targeting the correct areas/nerve fibers before a rhizotomy.
If the injections are successful, they will fo the rhizotomy. Typical relief is 6-12 months, then repeated as necessary.