Riley, yes, I've used a P3Pro and P3Adv for about 2 years with Drone Deploy, Using an iPad mini4 without too many issues. A hiccup once in a while but it works generally very well.
If you have access to an iPad, it might be worth a shot just to see if it's any better. In general, the iPad has worked better with the drone than the previous android device I had. Though I don't remember if I was doing DD then or just manual flights.
And the cable suggestion is a good one - definitely could be the culprit.
Other thing, many times, when switching between DJI GO and DD apps, you need to close the GO app, and disconnect the usb, then reconnect and it then open DD. That hasn't been a problem for a while but worth checking.