--what is usually referred to as mononeuritis multiplex involves disruption along several unrelated, but distinct, nerve tracts.

A mononeuritis multiplex might involve the long thoracic nerve, and the perineal nerve of the leg, and the medial nerve of the arm, at the same time, but symptoms would be limited to the distributions of those nerves.

What you are experiencing seems to be more diverse and systemic, so it may well be a non-length dependent small fiber neuropathy/neuronopathy/ganglioneuritis, which is common with Sjogren's.