I need an exact definition of end-on-end and back-to-back ticketing, where the former is permitted by some fare rules and the latter is strictly prohibited.

In the below examples, HKG/SZX and BJS/TSN are two distant city pairs, and in each pair the two cities are very close to each other such that no regular air transportation is possible, but are still considered different cities.

Assume that all round-trip fares have a Saturday-night requirement, allows end-on-end and double open jaws.

The following is a classical prohibited back-to-back ticketing, where the traveller book two round-trip fares and use the segments in chronological order:
Ticket AA:
2018-01-01 HKG-BJS
2018-01-10 BJS-HKG
Ticket AB:
2018-01-03 BJS-HKG
2018-01-08 HKG-BJS

However, if we make all 4 segments into a single booking, can't the reservation system treats the journey as an end-to-end combination?
Ticket B:
PU B1:
FC B11 (HKG-BJS round-trip fare): 2018-01-01 HKG-BJS
FC B12 (BJS-HKG round-trip fare): 2018-01-10 BJS-HKG
PU B2:
FC B21 (BJS-HKG round-trip fare): 2018-01-03 BJS-HKG
FC B22 (HKG-BJS round-trip fare): 2018-01-08 HKG-BJS
Can this ticket be constructed by using the above rules?

Moreover, if the traveller intends to circumvent the minimum stay requirement, and book the following air tickets, does it constitute the prohibited practice of back-to-back ticketing:
Ticket CA:
2018-01-01 HKG-BJS
2018-01-10 BJS-HKG
Ticket CB:
2018-01-03 BJS-SZX
2018-01-08 SZX-BJS
The traveller's home is about the same distance between HKG and SZX. Both airports are equally convenient.

How about the following variants then:
Ticket DA:
2018-01-01 HKG-BJS
2018-01-10 BJS-SZX
Ticket DB:
2018-01-03 BJS-HKG
2018-01-08 SZX-BJS
or any combinations by substituting HKG with SZX or vice versa and the traveller is doing these flights every two weeks with the frequent flyer account applied, with different combinations of HKG/SZX substituting each other in different tickets?

In the following examples, the traveller books the segments of two weeks all on a single ticket:
Ticket E:
2018-01-01 HKG-BJS
2018-01-03 BJS-SZX
2018-01-08 SZX-BJS
2018-01-10 BJS-HKG

Ticket F:
2018-01-01 HKG-BJS
2018-01-03 BJS-SZX
2018-01-08 HKG-BJS
2018-01-10 BJS-SZX

Ticket G:
2018-01-01 HKG-BJS
2018-01-03 BJS-HKG
2018-01-08 SZX-BJS
2018-01-10 BJS-SZX

Ticket H:
2018-01-01 HKG-BJS
2018-01-03 BJS-SZX
2018-01-08 SZX-BJS
2018-01-10 BJS-SZX

Ticket I:
2018-01-01 HKG-BJS
2018-01-03 BJS-HKG
2018-01-08 HKG-BJS
2018-01-10 BJS-SZX

For tickets E, F, G, H and I, can the round-trip fares requiring Saturday night stay and permitting open jaws and end-on-end used, by combining 2018-01-01 and 2018-01-10 as a PU, and 2018-01-03 and 2018-01-08 as another PU?