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Rds=Vds/Id.
This is the formula we can calculate Rds.
You get a non-linear relation Vds=f(Ids), you need to specify either Vds or Ids to calculate a small signal rds = dVds/dIds or large signal Rds = Vds/Ids. In any case, they don't depend on gate resistor R.
No current through gate = no voltage drop at R. The circuit simply makes Vgs = Vds.