Just saying "wrong" without any further supporting material is argumentative and non-productive. For the purposes of the way the original question was asked, I think he got the answers he was looking for.
First, I didn't say everything that was going on with the coil because it wasn't an important part of answering the question asked. But since you want to bring it up, I'll quote the W8JI link (which has been presented here before by me and others):
"The flawed viewpoint is current goes in one end, winds its way around through the physical length of wire in the coil, and after a time delay caused by the copper path length current appears at the other end."
Which is exactly what I said in simpler terms. W8JI goes on to explain what really happens quite well, but it is quite technical. The way I described it works just fine in trying to help someone just starting to understand antenna theory.
Pertaining to helically wound antennas, I don't know where you're getting your material from. Long, skinny coils used in antennas have terrible Q and are terribly inefficient compared to better designs. A helically coiled antenna is just a long skinny coil. Here's another good reference:
Topband: How Helically Wound Verticals Really Work
loose coiling of excess feedline defeats the counterpoise effect called for in most mobile installations where body metal is at a premium
Yeah especially if you're installing this antenna on a corvette or some other fiberglass body. If you need the shield of the coax to provide additional counterpoise on any sheet metal bodied vehicle, you're doing it wrong.
"Also does the length of the coax effect the antenna output- it must."
it does if the feedpoint swr is anything but 1:1, especially in the case of a transmitter source with a fixed impedance.
The question was asked from a practical standpoint and answered correctly from a practical standpoint.