I recall with PADI there had to be a 10 minute surface interval between training dives to count them as two dives.
There has not been such a rule for PADI since I have been a professional. Perhaps there was one before that. In the current manual, the requirements for training dives are extensive, and they can be found on pages 26-28 in the instructor manual.
No-one yet has claimed any knowledge of the 3 hour rule...
No one knows about the 3 hour rule because no one really dives tables any more and probably don't do much more than lip service to them in training. They probably don't know anything about exceptional exposure corrections either.
The reasons for the 1 hour rule and the 3 hour rule, which are for repetitive dives (at least 3) that include reaching the very highest pressure groups, are well known.
The research leading to the PADI RDP was extensive, and it was published. Remember that the reason for it was due the fact that the Navy tables, which were really all anyone had then, were really not suited to recreational diving. They used the 120 minute compartment to govern surface intervals. That decision was pretty arbitrary; in fact, the 120 compartment was created in theory when that decision was made--earlier tables did not even include it in their thinking. Navy dives tended to be very long, and they usually only had one per day. Recreational dives tended to be much shorter, and they usually wanted to do 2 a day.
The research indicated that for the vast majority of recreational dives, the 40 minute compartment could safely govern surface intervals. As the dives got longer, the 40 minute compartment became less suitable. they decided to go with the 60 minute compartment to govern the surface intervals, and the table is based on that decision. However, when you do repetitive dives at the edge of NDLs, the 60 minute compartment becomes more on the edge. For that reason, they increased the required surface intervals for those dives in order to be conservative. They made two blanket rules rather than make another set of tables for those circumstances.
Remember that the 1 hour and 3 hour rules only exist for a minimum of 3 dives that get near the NDLs. They are irrelevant for a 2-tank dive.