the quill
Nod in a tailstock ram is rarely enough to cause problems for everyday turning. It could be 10 thou low or more and not affect the diameter enough to measure. Sideways is a different matter - any sideways misalignment is doubled in a part turned between centres so the effect is significant.
I tested the ram as you call it, I thought it was called the quill, the part that goes in and out of the tailstock. I used a dial indicator on the top and zeroed it with the ram fully retracted. Then I retracted the tailstock and extended the ram fully (but not so far so it left the threads) and moved the ram into position and measured, with the tailstock locked in both positions ofcourse. Total runout was 0.02mm which seems OK to me.
Well I don't have a tool post grinder and while I have a carbide boring bar the insert won't work on the inside (tried to set it up by chucking a bearing at the back), not enough clearance....