So no matter what conduit trade size you use ,you can only fit 20 CCC #10 thhn in the conduit…4”-1 1/4?
Yes with an exception (nipple).
What's important is the CCC, 20 amp OCPD and #10 THHN.
The #10 THHN 90c conductor is easy.
The 20 amp OCPD is easy.
The CCC no to much. What is considered CCC will and can change the quantity of #10's which then the raceway is selected.
Let's say the branch circuits are line to neutral with each line having it's own neutral ( grounded conductor).
That would be 10 circuits, 20 wires and an EGC if selected or required. Race way fill at 40% would be selected for 21 #10 THHN conductors.
Now there is a catch to consider. Let's say this is a raceway 24" or less ( nipple). Now no derate is required and you use a 60% fill.
Raceway size @60% and see how many #10's will fit current carrying or not.
Another example would be line to line 3 phase 4 wire circuits or MWBC. The netural may not count if so you now have 18 line conductors, 6 neutrals and an EGC if selected or required. That would be 25 #10 @ 40% fill, then select raceway.
Since we're allowed 20 you could add two more CCC which would make it a total of 27 #10's or 19 single pole circuits.
Another item to consider with what is current carrying in way of the neutral. This would be single phase from a three phase 208/120 Y system. In this case the neutral counts if it's a single phase panel that they originate in or two line and a neutral from a three phase panel. This would be 12 line, 6 netural and 1 EGC if selected or required. Again since we're allowed 20 you could add one more line to neutral circuit. This would give you 21 #10's or 13 single pole circuits.
Then we have a 3 phase 4 wire delta high leg system. In this case the neutral is treated like single phase 120/240. If MWBC you would have 20 line conductors(CCC),10 neutrals and an EGC if selected or required. That would be 31 #10's @ 40% fill then select raceway. This would give you 20 single pole circuits.
For the purpose of CCC you need to conder which are and which are not considered CCC based on the NEC.
I have left out linier and non linear for simplicity.