You can use 12/3 or 14/3 Romex. The braided 4-wire is for 220v ranges & dryers. It’s braided because if it were solid you couldn’t pull it through studs and joists. Canceling EMI wasn’t really a consideration although it may work.It’s not braided.
Some 3 wire + ground has a spiral its entire length. I have seen some that is flat.If using NM-B (Romex is a Trade Name) for best practices use 2 wire with ground.
If shielding is desired use 2 wire with insulated ground MC aluminum armor cable.
3 wire with ground (4 conductors) is not recommended be it Romex or MC cable.
Read pages 31 through 36
https://centralindianaaes.files.wordpress.com/2012/09/indy-aes-2012-seminar-w-notes-v1-0.pdf