Not sure there is an agreed upon definition for the boundary between rec and tech diving....
Actually there is, for the US (except Louisiana) at any rate. But it may confuse the issue for you since rec and tech are the same thing. A definition was used in a court trial several years ago and from an agency perspective (certainly the one I worked at) that definition sticks.
Recreational diving is what you and I do... we dive for fun. Recreational diving includes technical and sport diving... watching pretty fishes and diving in cave to 100 metres on a rebreather are both forms of recreational diving.
Other forms of diving include: Military Diving (for example Royal Navy Clearance Diver), Commercial Diver (underwater welder; someone who works on oil rigs and whose working conditions are subject to the scrutiny of a quasi government organization such as OSHA) and Scientific or Research diving (underwater archaeologist associated with a museum or university for example).
I believe you mean the definition between sport and technical diving... there are many definitions trying to tweeze those two apart. I've taught technical programs for almost 20 years and the boundary is more clouded now than it used to be... Nitrox used to be tech!
Doing open water decompression dives on air/nitrox is probably not considered tech diving (I certainly wouldn't consider it so).
I would, but then that's me and what the heck do I know.