What exactly are you concerned about? Are you thinking of HT or heater current being drawn from the PT?
Any 6L6 variant will draw the same heater current.
HT current is determined at idle by the bias, and at full output largely by the load, ie the OT primary impedance.
The only real difference made by one variant over another is how stressed they are by the voltage and dissipation.
5881 vs 6L6GB