I have never seen a dive operation anywhere in the world that limits OW certified divers to 60 feet. A small percentage of dive operations will limit dives in the 100 foot range to people with AOW, but the vast majority do not. I have never seen a dive operation anywhere in the world that requires the Deep Dive specialty for dives deeper than 100 feet.
Was this a typo? You definitely can't go on an "advanced" dive without advanced certification, etc. Maybe I'm just not understanding your point?
I present that possibly; 40 meters rounds (for practical purposes) to 130 feet and 5ATA. Makes it pretty simple as a base to say they are equal. Now if I was to ride the NDL ((no decompression limit)(no deco limit)) to the limit of most models these values would be different and would involve some decimal values. who wants to remember that. Regardless of where in the world I am diving we can all understand that if one says the recreational dive is 40 meters, I can equate that to 130 feet, or if someone says 5ATA, I know that is the same as 40 meters or 130 feet. These us basically equal values and a little cushion on time to going into deco (decompression).
There's a difference between doing algebra and understanding the physiological effects of these recommendations, however. When it comes to laws, rules or mere suggestions they're typically an approximate line drawn in the sand in the name of some greater good. In Scuba that greater good is safety.
For example, it's recommended that we target a PPO2 of 1.4 for the work portion of the dive and 1.6 for deco, but are you going to convulse and die if you are at 1.5 for the working portion of the dive? Probably not. The problem is we don't know what the limits are for any specific diver at any given time. We aren't robots. The MOD @ 1.4 of Air is 187, however the world record is 452ft. That's a PPO2 of 3.1! Just because a handful of people can tolerate that for a small period of time doesn't mean the majority can.
Lots of these recommendations are just that and they have a pretty decent buffer, because there's no need to flirt with danger for the average person. People don't go from 40m to 41m and die, but an arbitrary line had to be set and there it is.
OW is 20m
AOW is 30m
Deep is 40m
Technical >40m
Nice simple round numbers