This may satisfied you Hardy
I agree with the opinion that shuffle is needed BUT I do not agree that this must be the reason for playing a FLG session without a champion. If you have that in mind then you must do that very often (e.g. twice a year) so more shuffle can take place. Consequently we will lose 2 champions and 2 play offs. This can be a problem as the demand for the league may reduce.
I want to give you an alternative idea. Why do not insert an additional rule instead!!!
For example (modification of current rules):
Two 11-Pt Semi-Final between the winner of one league and the second of the other will determine the League's Final which should be played in 13Pts, and the winner to become the new League's Champion.
The 3 last players of each division (10, 11, 12 positions) will move DOWN to the Gold League and the 3 last that they remain (7, 8, 9 positions) will remain in master division but switch to the other group.
With 2 divisions, the top 3 (1, 2, 3) players of each will move UP to the Master League, and the last 3 (10, 11, 12) DOWN to the Silver League. The 3 last that they remain (7, 8, 9) will remain in gold division but switch to the other group.
With 3 divisions, the top 2 (1, 2) players of each will move UP to the Gold League, and the last 4 (9, 10, 11, 12) DOWN to the Bronze League. The 2 last that they remain (7,
will remain in silver division but switch to another group.
This league is divided in 4 parts. The top 3 (1, 2, 3) players of each will move UP to the Silver League. The last 6 player (if they want to continue playing in the league) will switch to another group.
With this plan, no waste league time will be created and NO-ONE will complain again. Master league groups will not change 25% like today but 50%, gold from 50% to 75%, Silver from 50% to 66,67% and bronze from 25% to 75% (in case of 12 players)