We are Americans and fly this route:
- USA> TPE
- TPE> PEK
- PEK> KIX (5 days in Beijing)
- Train to Tokyo
- NRT> USA
1 and 2 are on the airline A, 3 on the airline B, 5 on the airline C.
I assume that airlines do not matter, only the Chinese cities, so for a 144-hour visa.
Related topics: What does "Confirmed Seat" mean in relation to the 144-hour visa-free transit from Beijing?