Will RG6 cable carry the HDTV signal to my new TV?

When I had my Traveler installed the shop used the Wineguard supplied cables to the cabinet housing the Dish receiver which was simple since the coach originally had an old dome type antennae. From the receiver to the TV is an HDMI but the park cable and OTA came through a switch box and into the TV with the old coax.

The rear TV still uses the old coax and everything works fine on HD.

Since than I've replaced the original VIP receiver with a Hopper and Joey....still work fine.