Can I interfere with other people's internet packets with a modem that doesn't follow multiplexing/DOCSIS standards?

As I understand it, internet modems use time division multiplexing to allow multiple modems/households to use the same coax cable for their internet connection.

What happens if I replace my modem with a device that holds logic high 100% of the time on the coax cable? It's always on, doesn't follow multiplexing/TDMA rules. Would that interfere with everyone else's internet packets?

*I know it sounds like I'm planning to do this. I'm not, just a curious thought.