I find VOSA's reply misleading. For a start, the GVW is NOT necessarily the addition of the maximum front and rear axle loads. The sum of the two can actually be higher than the GVW. In that case, one can only make full use of one of the two axle load limits, but never both at the same time.
They have also not clearly stated which manufacturer they are referring to when they say "The Manufacturers Plate listing the caravans Gross Vehicle Weight and Axle/s weight is the one that stands up in law." My interpretation is that they mean the caravan manufacturer, not the chassis manufacturer, as he is the last in the line. Otherwise, they should have written "The Manufacturers Plate listing the chassis Gross Vehicle Weight and Axle/s weight is the one that stands up in law."
Actually, although you are correct in saying that the law uses the term GVW, you will find that it also references MTPLM in later amendments. GVW and MTPLM are therefore interchangeable and have equal legal significance. The Directgov and DfT websites, which are also government institutions, just like VOSA, use the term MAM (Maximum Allowable Mass). VOSA have used the term GVW without disqualifying the other terms with the same meaning, just as practically everyone uses the term "kerbweight" although this is not a legal term.
I think you are interpreting more out of the VOSA reply than what they actually wanted to say, maybe due to their ambiguous choice of words.