Oh yes, LET'S USE A COAX AS AN EXAMPLE.
Do you even know what this example means? There are a few effects going on in a coax. First you have transmission line effects ... that is because there IS a connection between the two wires in a coax. That connection is a capacitor, and inherent in the construction of the coax is the piece-wise inductance of the wire, i.e. every section of wire has an effective inductance. Why does that matter? ... well similar to how a pressure wave needs to travel through those pipe for water to come out (it only seems instantaneous), a voltage potential propagates along a coax, before conduction starts (well really that happens with all pairs of wires).
A lot of high frequency coax cables do not use solid wires in the center, but I guess you are showing your lack of experience there.
You do realize that "energy" does not only flow into the center conductor right, it flows into the outer ground as well? Do you realize how the "shielding" even works? .. and I use quotations as the shielding is almost a misnomer, though the outcome is not. It does not so much "shield" the inner conductor, as it prevents a potential from being induced between the outer shield and the interior wire ... which works no matter whether the shield is ground, or the shield is signal, as you are interested in the differential between the two. The outer is usually ground as it is often connected to case ground. Of course, without twisting, it is susceptible to magnetic interference.
"Use a coax cable for an example. Center conductor is solid wire. Shield is the signal ground conductor and is connected at both ends."