well, lets see.
In your scenario:
PNG loses to Central, beats Ozen.
They would be 5-2 in district going into MCM.
Ned beats Lumberton
They would be 4-3 going into MCM.
Central beats PNG,Lee and Livingston.
They would finish 5-3 in district.
So, if Ned beats PNG in MCM, Ned would be 5-3 in district , PNG would be 5-3 in district and Central would be 5-3. So Ned would get in via head to head vs the other 2 teams (in 3rd place). Central would also be in (4th place) via head to head. PNG would be out.
If PNG wins, they are 6-2 in district , Ned would be 4-4 in district and Central would be 5-3. PNG (2nd place , head to vs Vidor) and Central (4th place) would be in , Ned would be out .
So after a long answer to a short question , yes that would be true.