Well I'm using a VdH razor still (so far it is my only razor but I believe my father may be in possession of my grandfather's Gillette--but there is no telling--I don't know what kind it is other than it was gold colored) which I strongly suspect to be an up-branded Weishi.
With my neck, the skin is just thin and sensitive. I probably could shave it atg (from right to left in my case) but I find I do just fine with doing wtg (left to right) and then xtg twice.
I tend to do just the two xtg passes on my neck. Like you my atg on my neck is right to left (all over) but for some reason a wtg pass (left to right) doesn't actually do much for me. It definitely doesn't make the cross grain passes any easier (there is absolutely no tugging x grain on this hair - must be finer than the rest of the face or something).