[Avodah] Machlokes Leshem Shomayim

[Shmuel Weidberg]

The mishna in avos says: Kol machlokes shehi leshem shomayim sofo
lehiskayem vesheino leshem shomayim ein sofo lehiskayem.

Every disagreement that was entered into for the sake of heaven will
last and any disagreement that was not entered into for the sake of
heaven will not last.

Why is that?

I would like to propose the following pshat:

Whenever there is a machlokes where one of the sides entered into it
in bad faith, that side will ultimately admit that it was wrong.
Whether in this world or in the Olam Haemes. As a result the machlokes
will simply disappear because one of the sides of the machlokes will
no longer exist.

However, if both sides of the machlokes entered in good faith. Neither
side will ever admit that it was wrong because neither side made an
error in insisting they were right. As such the machlokes will last
forever because eilu vaeilu divrei Elokim chaim.

Regards,
Shmuel