I've been working on figuring this out also, fast-forward a year and a half or so from when this was posted. But not knowing where Display Fusion was back then, I will say that yes, now, absolutely.
It is more than possible to make any application launch on any monitor - and anywhere on the monitor, fullscreen or windowed. Or all apps can essentially be made to do this simultaneously... and, do you want a certain app to do something when another one is opened, no problem... as well as many, many other things.
At least this is what I'm reading from multiple sources, I just haven't quite figured it all out yet... but I'm working on it and am close to getting what I need done.
So instead of me trying to explain something I don't understand yet, here are two links that should be helpful:
This is the one I found first which has helped me understand how it works:
Launching and Positioning an Application on Startup
This one I just stumbled upon and haven't looked through it, but it's officially put out by Display Fusion so I assume it's pretty good:
Working with Triggers