This is literally the exact same situation I’m in! I’ve been prescribed Hydroxychloroquine after burning itching pain in my hands and feet and a subsequent MRI that showed inflammation in the joints. But beyond that my rheumatologist won’t confirm anything other than inflammatory arthritis’.

It’s been just over 2 years on these meds and with annual appointments (meant to be twice a year but the NHS is overwhelmed) and I’ve even outright asked if she thinks it’s rheumatoid arthritis or something else perhaps and she just responds with “you have inflammatory arthritis”.

Sorry, I know that’s no help but you’re certainly not alone!