The Hot Rod P PUPs are definitely hotter/stronger than a standard P's 'cause I remember it being one of their selling points, especially when they were describing how the J and P were better matched for output, though offhand I couldn't tell you what there readings are. (13.5k?) Nevertheless, you might want to do your own reading of the '83 P PUP to see if it's within the proper margin. The classic standard P is usually wound to 10k I believe, though if ordering from someone like Lindy Fralin you can request an under or overwind for lower or hotter output.
I just had my '73 P overhauled (installed new pots, jack, and resoldered poor connections) and also had the original PUP sent out to Lindy for a rewind to classic 60's P specs. It only cost me $55.00 for the rewind (That's per coil, as my original PUP only needed half the pickup rewound) + labor for installation, but my '73 P is kicking now.
Regarding hurting the original value, I think a professionally rewound PUP is better than an original that doesn't work right or a replacement.
http://www.fralinpickups.com/