No, you may bundle them together without concern. The coaxial cable for the TV is shielded, and modern digital signals are much less likely to suffer interference than the analog signals we used to have. If there were any problems it wouldn't be due to the shore power cable itself but to a faulty transformer on the dock.
If you suspect a transformer problem, a quick way to locate the suspect device is to use a portable AM radio. Tune it to a quiet spot at the low end of the dial and carry it around the dock, holding it close to the power towers and transformers. If you get worsening static as you hold it closer to such a device, there's a problem with that device.
Anson & Donna
Be kind whenever possible. It is always possible. ~The Dalai Lama