S2K...nothing was "reported by HN Twr" as you put it...it was as much a surprise for us as anyone else...in fact none of us were aware of the rules as they don't appear in any of our documentation...I had to go looking to find the references.
In HN's case we report the vis as we see it wrt known landmarks and their distances from the tower...we recognise that what we see may be (and in many cases IS) completely different to the vis on the actual runway and as viewed from the cockpit.
We know what the minimums are for the approaches, but do not know what minimums may be imposed by individual companies or in fact what minimums a pilot may impose on him/herself that may be well above the published ones. In fact if memory serves correctly, some companies even have different missed approaches than those published (e.g. I think one company has the MA from NZNR involving a 5 or 10 degree turn that isn't in the published procedure).