Introducing Cox Gigablast

I was scheduled for installation last week but when the technician showed up to install he stated my coxial cable was not sufficient and he would have to run wire outside the house.  My house was re-wired 6 years ago with a direct cable line to my modem located on the other side of the house.  He stated CAT 5 or CAT 5e cable was needed and I could hire someone to fish it through the walls where my current cable is. 

My question is, would I be better off installing a direct CAT 6 cable now in lieu of a CAT 5e and would it add any benefits to my upcoming GiG service?

Thanks

Doug