I have had to order a custom twisted feeder.... (Theres a thread around here about elevator feeders buzzing not long ago) And you can order custom smaller branch circuits bundled and twisted. IMO so long as you're not going through an LB it seems easier to pull* - less friction I guess. Pretty much every cable short of 12/2 Nm is factory twisted in the jacket, I have always wondered why the rest were, short of that ONE? But doing that on-site with a drill....
While unothodoxed, it seems really cumbersome, error prone, time consuming, and hardly worth the effort. While I can not say it is a violation of any code, including anything in 110.3... It does seem like a waste of time for the average circuit.
*I used to work for this old guy who always did a wierd twist of conductors going into LBs LL's and LR's who would put a half or full twist right at the fitting before you pulled the other side and zip tie or tape it there to hold it - never really figured out how it worked, but he would count out the bends on the other side of the fitting, then twist the conductors at the fitting one way or the other - then roll out the head end
flat. But when you pulled it - it would get the conductors laying flat in the fitting everytime - with really no effort.... Right when the loop was getting close to the fitting he would pull off the tie that held that twist and they would all
spring flat and pop right into the LB and all equal! It's a trick I never figured out, and never seen anyone else do. (But the idea there was not to have them twisted... Something he was very particular about.)