Jetwings
Sounds like you view this as a private operation which isn't really the case. It's a commercial operation that operates biz jets, but is organized and run along similar lines to an airline.
Personal view, but I think the INAC rules we operate to (as do TAP and Portugalia airlines) are much better than say, the CAA ones. Things like max weekly duty and max number of night service periods etc are all very conservative. The only area they fall down in is in long range, were the current ones are not particularly well thought out regarding time zone changes. However they should all be updated soon if INAC get it sorted....hope springs eternal!
Again from a personal perspective, with NetJets I've often been tired at the end of a busy day but never really fatigued.
Regrettably, I have yet to find any of the gyms but I am told on good authority that they do exist.....
Cheers