plus you don't know the reason that Jeremy did not want to be involved with Mike so don't assume you do just to jump on the band waggon to use such assumptions to further blacken his character.
The reason behind the apparent falling out has been posted before.
If its true Jeremy could not force the daughter to do anything, Mikes words were more or less "Write to Jeremy if you don't believe me, He will go mad knowing I have told people" According to Mike he has met the mother so if anyone is making things up its Mike not Jeremy. Sooner or later someone who writes to Jeremy would not resist the urge to ask Jeremy about Mikes claims. So maybe down the line we will hear some feedback.
With how Jeremy answers letters, "do you have a daughter" might seem a simple question, but the answer - maybe not so simple.