Until I left/got mine stolen recently it was a top hat for the following reasons:
1. Cool ventilated in summer (Sydney got up to 44.5C this year in town!).
2. Rugged (hemp fibre)
3. Quality (leather band that is not sweaty).
4. Shape . Maintains its shape despite pulling on/off and summer carelessness.
I own/have owned 50s top Italian Milans but Graham's MTO Chinese Milan weave is pretty awesome
For those looking for a top rabbit Fedora I have one of these in Moonstone and its a superb hat: