Doesn't one contradict the other? You can only have a) Saturday and Sunday games and b) three full rest days afterwards if c) some of the later games are on a Thursday. Which the clubs wouldn't accept.
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If you play Thursday, you don't play Saturday. If you play Sunday, it was three days since your last game. Of the international week, those who play Thursday-Sunday, are the first and last to finish their games.
The FAI shouldn't allow Friday night league games in the first place. UEFA will allow it in the new calendar, but teams won't be allowed to play on it all the time, like it does here.