Unless the vermiculite was sterilised (easiest to do in a roasting bag in the microwave using damp vermiculite), there is no guarantee where the mould came from.
Does this species not go through the 2 year cycle from seed typical of Paeonia? I have grown it from seed, but can't remember.
I have grown many, many random Paeonia from seed and just sown it in a pot and left outdoors, and two winters later, I have plenty of seedlings. Unless someone wants to play with the timing, shortening/halving the time to get a seedling by using refrigeration, I see no reason not to sow seed conventionally, and possibly even if I did want to shorten the timing by a year.