Fuel Gage - volatge senstive?

[MuskegonFlatheadFan]

I really don't want to scratch the 6v versus 12v scab, but here we go.
Does the fuel gage even care about volatge? It seems to me that it shouldn't. Both the sending unit and the gage are basically variable rehostats. I did the conversion on my 40 deluxe and need to do the dash next. I've read many posts about the conversion and using voltage reducers, it has me wondering.