Resistance measurement and standard uncertainty
Yes, text is talking about B type. 

Should you include A type as well? It depends on your requirements. If you want, you can limit yourself on type A (measurement dispersion, essentially) or type B (instrumentation uncertainty). But normally what metrologists provide with measurements is combined uncertainty. For combined you usually calculate your values from measurements and then assign weighting coefficient (derivative of function) to it.

More information: about types A and B and Combined uncertainty and the GUM bible itself