No. it's actually more like the P tells the copter how much to control to give on external inputs like wind or if you go up and push it, or after you release the sticks. Call P the locked in adjustment. I gain is more like an inertial adjustment, where it controls long term errors, like slow drift and whatnot. This isn't really what they are but it's close enough to get you started.
Your stick scaling will make your inputs stronger. Be careful adjusting these, you can get squirrelly quick by going too high with them. Try increments of 5 at a time until you get closer and then go 1 or 2 at a time
I don't believe I have stick scaling on that transmitter. When I fly my planes I have plenty of control. So maybe it is the p and I gains. I think I set it to something a video said but it wasn't like what the pdf I downloaded said. I'm not sure why I listened to that guy. Cause it seemed different than all the other videos I watched. I can't remember the video thought. If you have a recommended video I would follow those instructions. It seems really windy when i went out for my morning smoke. I may not get to try it out today.