MS symptoms generally present as bilateral, so what happens to the left, happens to the right, in varying degrees, but still normally seen to both sides. Since your complaint of symptoms is isolated to the left side alone, it's not 'consistent' with MS. Doesn't rule it out completely but would explain why your neuro never really sought that as an initial diagnosis. Still even if they weren't actively looking for it, if there were lesions in the brain they would have discovered them.

Neurological disorders are extremely difficult to diagnosis especially when they like to hide. Be patient but persistent with your doctors, and do your best to keep a log of your symptoms, both the on-set, length of time and anything that seemed to 'improve' them.