How will compression neuropathies affect other parts of my health?

It dosen't. Compression neuropathies aka pinched nerve can cause symptoms of pain, numbness and tingling in the affected area but does not have any other effects on your health.
Let us try to help. Compression neuropathy, is a medical condition caused by direct pressure on a single nerve. It is known colloquially as a trapped nerve, though this may also refer to nerve root compression (by a herniated disc, carpel tunnel ). Its symptoms include pain, tingling, numbness, and muscle weakness which in turn effect weak strength of the muscles. Good luck, thank you.