how to quickly restore apps to external screens

[xidiot]

Not a direct answer, but have a look at:

Saving, Restoring, & Launching Window Layouts

For others who come across this thread and are interested in powerful responsive window resizing tools – you have a couple options: BTT using restore window layouts, works in most cases. macOS Automation tool Bunch (bunchapp.co) + window rearranger Moom (manytricks.com/moom). Bunch hides and opens the windows you want, Moom arranges and saves the layouts using Window Snapshots. There's even documentation explaining how to link the two. Stay from Cordless Dog for saving/recalling window layout…

Restore windows layout with multiple monitors

The reference point is the top left corner of the main screen (the one with the dock & menubar) Are you trying to restore on the same display setup where you also recorded the positions?

I guess there could be more you just need to search for them.