It sounds like you are in for a new tank!!
I am not sure what you mean by a "cross connection" but if you mean a pipe that goes from the input (cold) side of the water tank to the output (hot), then that is part of the tank bypass system used for winterizing. It usually has a valve in it that allows water to flow around the tank when open, or forces water through the tank when closed. The tank itself can have one way (check) valves screwed directly into both the tank inlet (bottom) and outlet (top). The goal is to avoid filling the water tank with 6 to 10 gallons of RV antifreeze when winterizing the fresh water system. It is not necessary to use antifreeze in the tank if it has been drained (and flushed out) using the drain plug located at the front (ie from the outside!) and on the lower end. (The drain plug is either a very large 1 1/16" bolt-like plug with an anode attached on a Suburban brand tank, or smaller nylon plug on the Atwood brand tank (Atwood tanks do NOT use anodes!!).
If this pipe and valve are missing, that is likely the reason the PO did not winterize or did so improperly.
(Winterizing valve systems can consist of one, two, or three valves. See the library for more info on this subject.)