Adhesion problems can be due to a number of different things. The surface itself may not be allowing for enough adhesion. Acrylic primers often have this problem, being too slick in some places. The paint may not have sufficiently dried enough to paint over it. That can take several days in some cases. The Painting Medium extends drying time (it contains stand oil.) The paint may also have been diluted too much so that there's not have enough oil to bind it to the surface.
As to "chemical formulations," no one here will be able to answer that question. We didn't make the stuff, so we can only speculate. I've tried the Artisan Thinner with Duos and they appear to mix okay. I don't use the Artisan Painting Medium.
My suggestion would be to either give the area more time to dry, assuming that's the problem, or wipe it down and repaint it with paint alone or a different medium combination. If the problem is the surface there's not much that you can do to improve that. Sometimes a little bit of retouch can help give a tacky surface that you can paint on without lifting paint. Holbein makes a Duo Painting Medium also that you could substitute, or switch to Artisan paint, to see if the problem continues.