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Here is a report on how the tach works given that I did not pull the needle but did lubricate it inside. (And cleaned the cloudy glass.)

I rode the bike today and the tach needle was PERFECT. It did not waver a bit like it did before

Lubrication I did was as follows:

1) I put the tach with dial facing down and filled the tach cable input hole right to the top of the threads with oil and let it seep down. Once in a while I would put a small flathead screwdriver in and turn the unput a few times to help the oil seep down. Then I would top it to the brim again. Did this for over a day

2) Then inside the tach, with the tach on its side, I dripped some oil down to where the input driven shaft comes inside the tach. It is not a problem to over lubricate this inside because, once installed on bike, any excess oil drips vertically down away from the dial.

I did not lubricate the needle assembly, mainly because there was no way to access it. But looks like it is doing fine without any lubrication

Dennis