Nope, this won't have any effect.
There's a lot going on in a system like this, but my first-order thoughts would be that you need a certain amount of momentum to open the valve well, so it doesn't really matter. If you account for the lower opening force due to running at a lower pressure, you probably get away with slightly less momentum to open the valve - which means lower bolt speed and gentler on paint...
Guess I'd start with the Rhino spring for gentler paint handling, but this is really an empirical thing. Isolate the variable and see which one works better.
I don't see an easy way around this, and I'm not sure it's your problem.
The SFT ring on Smart Parts guns is a very well-known paint breaking point, especially in cold weather which causes the ring to shrink slightly. My first recommendation would pull the breech o-ring completely for cold weather use. If you want to add a ring to your bolt for a permanent switch I don't think it's a terrible idea, the SFT style rings suck.
Another suggestion is to go to a Metric o-ring for cold weather. 1.5mm CS, 18mm ID.