Welcome to ScubaBoard, the world's largest scuba diving community. Registration is not required to read the forums, but we encourage you to join. Joining has its benefits and enables you to participate in the discussions.
Benefits of registering include
If by "decompression dives" you mean dives where you have to make decompression stops, then, as seaducer indicated, that's not taught in any recreational course (at least not now -- I don't think) other than for an emergency situation.
In my case, my wife and I were certified in 1986, and dived casually until 1991 just after the kids started coming. When our oldest turned 14 in 2004, he did his OWD; my wife and I decided to sit in with him and audit the entire course after our 13-year break. It was "just like riding a bike" once in the water; but a lot had changed in just the 13 years regarding equipment, techniques, procedures, etc.
Just sayin'.
PADI defines Open Water as following:
Open water is a body of water significantly larger than a swimming pool offering conditions typical of a natural body of water encountered by divers.
PADI Instructor Manual Version 2010 (Rev. 1/10), General Standards and Procedures Guide, Page 17.
I can recall only one time where I had to consult the tables before diving
I sure don't want someone, someday, telling me I'm not qualified to dive from their boat etc because my C-Card does not say AOW on it.
DIR [...] I wonder if anyone is having fun any more.
"Open Water" has also been referred to as "confined water", in that it implies conditions that are relatively controlled - a small bay, a lake, a tidal pool (which is what we used on Guam),...in other words, water that is not moving or impacted by surge, intense currents, or other impediments to students performing basic skills.
Unless something has recently changed in the definition, "open water" was not originally intended to imply "non-overhead diving" as opposed to "overhead diving"
I also think that a de-facto alternate definition now for OW is "non-overhead and non-mandatory deco stop." And I don't think it's a bad one.