Just about any USB-C cable you buy that isn't a "data" cable just means its not rated for the ultra high 3.0+ speeds. It's incredibly rare to come across a USB-C cable that has absolutely no data connection, they practically all support at least USB 2.0. I've never come across a cable that didn't support at least USB 2.0 speeds that wasn't just otherwise broken, or was some weird one like USB-C to a barrel adapter or something.
There are some sold for privacy which do not have the data pins.
However, I believe this prevents negotiation for power delivery. Even if not, you need the CEC pins for the cable to function and that is a data channel as well (there are firmware update specs over CEC)