Following on from a topic about a month ago can I check that I have understand how to distribute Satellite and free view around my house?

Sky HD and Freeview Aereal lead go into my Sky + HD box and into my main tv,

from the output I run a coax into gadget

Run coax from each out put to desired room and into socket

I then run the coax into the tv via a digitbox and magic eye

This should then allow me to watch freeview independently on all tv's and watch Sky on all tv's (but only one channel can be watched at once).

Is that correct?