Doc, here are the knowns as you state them
1) you dup your master model, "How" what material, are you using same stone for both master and dup?I know a lot of people that use buff stone for dups, I don't
2) Compression packing, nothing wrong with this at all. if you are covering the frame on the first pour with plaster you can not warp it on processing very easily. I don't care what new press you have.
3) Divesting, yeah you can bend frames here if you are SUPER carless but you have to be exceedingly carless to make this happen. Plaster snips when used correctly and you are smart enough to divest with the force away from the frame you will be just fine. Pneumatic is a different story for sure and has a higher learning curve and a higher chance of failure.
4) tooth born cases, super easy to know if you waxed up correctly as you will see your rest seats are either seated or not.
5) free end with tissue stops much harder. When you boil out the flask, look at your frame and see if its in contact on the stop when its boiled out. if it is you should be just fine. If its up yeah you could potentially be off but again really really hard to warp a frame here.
If I was a betting man I bet your duplicates are not super accurate. If you are having great fits with a try in wax up but fits like crap after you process and you are processing on a dupe, what is that telling you.
Last thing, experience fitting appliances back to duplicates for partials is not just grind and go, a tech has to be able to look at the model see the issue areas and have experience to know when the tissue will give/flex and when its rigid bone. Adjusting the acrylic in these situations is an art form and based on YEARS of service and constant communication with clients. Scrapping a tissue undercut is not something I advocate but I do do it on certain case, I am much more likely to process on a slightly relieved "blocked out" dup model that will allow me not to have to touch the intaglio.
The reason most partials have issues with fit is like most removable appliances the borders are exceedingly over extended and muscle trim/ relieve is not accomplished
Thats my 30 years of knowledge in a few blanket statements, trying not to preach here, just share