It arrived and though I had some doubts as did a few members here, in the hand it is fine IMO, though perhaps others will have information to cast doubts on that. It is hard to find good detailed images of late 30's early 40's examples (the press stud was introduced circa 1942) with a hook and eyes fitting and cloth edge trim (again removed circa 1942). The sweatband is leather with a vinyl piece between it and the felt which is exactly matched by my 1943 dated example, whilst the post war example I own has an all vinyl example. Sadly there is no signs of any markings on it, though from searching a ;long thread on the WAF, this is not uncommon.
Australian Slouch Hats - Page 21 - Wehrmacht-Awards.com Militaria Forums
The grommets are the original early type being a bright darkish brownish red and there are no signs they have been tampered with in any way, either replaced or recoloured.
The pug band has faint traces of a size mark on the inside, in imperial size 7&1/? and some faint other marks that I can't make out, perhaps wetting it might make them clearer. It is obviously not a modern example, but hard to date it exactly and it might have been added to it, though it can be seen that it is quite dirty and when it is removed there is a clear difference in colour behind where it sits on the hat. Other than the colour patch being for an arty unit, I have yet to ID it completely.
Unusually, it has a collar badge on the turn up which perhaps might be a good sign as original full size cap badges are easy to get these days and it seems a dumb mistake for a faker to make., Also it is clearly the only badge that has been on there and has been there for a long time.
In the end after some doubts, I think its a good one, though perhaps spent its war in the depot or in a locker and not in action.