In the case of the output transformer secondary it is just wired up straight to an impedance switch and or jack. And you are good to go.
The filament current is almost highest (parallel wired) on the runs from the power transformer to the output tubes. So, again you can often just use the leads from the transformer to take care of a pair of output tubes. When wired in parallel the current drops as you go down the string. For example using an amp with 2 el34s and three 12ax7s the current on the first run would be about 1.5 * 2 + 3 * 0.3 = 3.9A. And the current between the 1st and 2nd power tube would be 2.4. And to the preamp tubes 0.9A. So, you can easily get away with using 20 gauge for everything after the power tubes.
It is also interesting to note that the number of conductors does have an effect on the amount of current a wire can safely carry. Charts like this will point that out:
https://www.engineeringtoolbox.com/wire ... d_419.html
For example note that 20 gauge single core wire is good for 6A. But 20 gauge 7 strand wire is only good for 3.5A. Again this only matters if you intend to be pushing currents around these limits. Also note that underneath the table there is a mention of correction factors for temperatures over 30 degrees C (86 F). The insides of an amp chassis more often than not are going to be in these temperature ranges. In the range (88F - 104F) which is barely above body temperature, the max currents are de-rated by 0.82. So, our 20 gauge single core is only good for 4.9A and the 7 strand 2.9A. At 113F (which does not seem out of the question in a tube amp in a hot environment) the rating is down to 0.58. Which drops the max for 20 gauge to 3.5A single and 2A 7 strand.
I mention the temperature stuff because I have seen some amps wired with like 22 gauge stranded on some power tube heater runs and the insulation became extra crispy

Mike