Unpopular opinion: In such a skill-based and well balanced game, the RNG of monk conversions have no place in AOE2.

The fact that monks use RNG (with a min and max) to determine when a conversion occurs seems so against the high-skill game play that this game otherwise provides and leads to immediately unfair and ridiculous moments that is magnified ten-fold in the pro scene. (This was made much worse with the recently patched legacy bug). It seems so backwards that a player could do everything right and just get screwed over because the monk doesn't want to convert. Especially in the pro-scene where slight mistakes can change the course of a game, it's insane that the outcome of a fight is determined by a series of dice rolls. I honestly think that it would be much better for not only the game, but the pro-scene and tournaments if monks just had a set time to convert that is slightly more than the current average time (that way they aren't crazy OP). If such a change would still be too good perhaps increasing the cost would help.

TL;DR - If monks were introduced with DE people would not tolerate RNG determining fights.