I guess I qualify as one of those older divers. I still dive Navy tables. Why because they are much better tested than other set of tables and they are more suited to the type of diving that I do.
Here is the Navy procedure for
Omitted Decompression:
1) Surface at normal rate.
2) If asymptomatic and capable of returning to the water within 5 min. of surfacing then return to the depth of the omitted for 1.5 time the initially required decompression.
3) It the diver can not return to the water within 5 min, then a min. of 60 min. of oxygen is called for.
4) If asymptomatic after 60 mins of Oxygen the diver should be observed for 12 hours (no diving, of course).
5) If symptomatic, transport on oxygen to nearest medical facility.
6) If asymptomatic and unable to return to the water for omitted decompression, and a chamber is within 1 hour, transport to chamber.
You will find that the 15 at 15 is actually a Navy recomendation for a diver who has exceeded the Navy no-D limits and does not have access to a set of in-water tables.
When I plan a no-D dive I still check out the decompression that would be required if I go deeper or stay longer and and write that out on a slate (I went over that procedure in a another thread). I carry a set of in-water tables and since I always make a 3 min stop at 1/2 my max depth, I can check them there.