You are technically incorrect, and it's the reason you had to provide a caveat regarding GMO tours. This is covered by point number #2. If you follow my rules (which is how they are written), then there is no reason to provide that apparent "exception".
I would use your example to explain it, but the minimum HPSP obligation is 3 years. So there is no way to owe 2 years for medical school unless you had specially negotiated the contract.
Fine substitute 3 and 4 years rather than 2 and 3. But the point still stands.
The reason I made the point was your rule #3. Yes you accrue more time for residency. However, the point I was trying to make is that HPSPers can pay off time concurrently. The system is not completely additive (e.g. school plus residency).
Few examples:
HPSP 1: owes 4 years for school, does internship, does 2 year GMO, now owes only 2 years (since he/she paid back 2 as a GMO). Does an EM residency which is 2-4. Now owes total of an additional 3 years since residency time owed is longer than remaining school term. Will payback total of 5 years as result.
HPSP 2: owes 4 years, does straight thru IM residency: Owes only 4 years since school is greater than residency.
HPSP 3: owes 4 years, does internship, then GMO for 4 years, and gets out.
HPSP 4: owes 4 years, does internship, GMO for 4 years to get coveted residency in ortho (so school term is paid back), does ortho 2-5. now owes 4 years for residency. total payback 8 years.
Moral of the story: any education that the military contributes to leads to payback time. Time is paid back as either a GMO or attending.