Well, Cole and I have different takes on this little gun.
I don't see it as any sort of "collector's item" or even a practical defense pistol. Yes, the baby Brownings were well made, but there are lots of them out there and no matter what, they are striker fired .25 caliber and almost too tiny to handle. Anything that changes the original finish will devalue it to any collector...not that you are likely to have said collector show up on your doorstep offering huge sums of money for it any time this century...and that includes having it reblued...even by the manufacturers if they would do it. Besides, people who rant about "collectors value" always seem to disappear if you decide you want to sell the gun for that big collectors price!
S&W as well as many private 'smiths can, and will, do you a nice job for a reasonable price, but it will still cost probably half of what the gun may be worth and certainly will not return nearly that much in value appreciation from a dollars and cents aspect. As soon as you begin to pocket carry it, you will scratch that pretty new finish back up and will find that bluing adds very little rust resistance. The use of something like the Gun Kote is much better suited to daily carry, but it will not be the "prettiest" finish you ever saw.
I would never sink much into one of these little pistiols myself and, although if it were mine I would sell it immediately, if I wanted to keep and use it, I would just touch up the bluing and use it as is rather than spending boocoo bucks on the thing.
You decide for yourself.