To me .. My opinion...flame away if you must.
So public safety diving and mine clearance are recreational? The surface is always an option!The dividing line happens to be when the surface is no longer an option. This may be a hard ceiling such as a cave dive or a penetration on a wreck or as simple as exceeding NDL, giving you a "soft ceiling"
My point: tec/rec is not a complete categorization. Tec diving, by the way, is often recreational by nature.