To cite myself: "It is true that FlyOrDie did not previously apply this rule in English/American draughts. "
Previously, the attacking player was often in the more comfortable position. They could keep repeating the same sequence until the defending player became bored, made a different move, or eventually ran out of time.
The repetition rule changes that. Now, if neither player is willing or able to make progress, the result is a draw instead of being decided by patience, boredom or the clock.
It is true that the defending player no longer has to keep track mentally of whether the position has already occurred twice, because the system recognizes the third occurrence automatically. However, in the situations being discussed, the repetition is clearly deliberate. The players know that the same position has already occurred and consciously choose to repeat it. This is also a valid defensive strategy in official over-the-board competition.
That is precisely the purpose of the rule: if the players cannot overcome each other, the game should not be decided by who becomes tired of repeating first or whose time expires first.
A threefold repetition requires both players to continue the same pattern. If either player wants more than a draw, that player must take the initiative and choose a different continuation.
It is not reasonable to keep repeating your own moves while expecting only your opponent to accept the risk of breaking the pattern.
So the principle is simple: If you do not want the draw, you must be the one who tries to avoid it.
I’ll add a notification to the game board when the same position occurs for the second time, so both players know they must deviate to avoid a draw.