It's an interesting question, but I don't think it's doing what you think it's doing. The main reason being that since the adoption of twelve tone equal temperament, there is a fudge factor applied to each note to make it playable in all keys, so the interval between tones is not the simple integer relationship in just intonation. Also, not everyone tunes to 440, sometimes as a matter of policy, sometimes the oboist will just be having a bad day; in order to "retune" the music, you would need to find and measure an a known tone and calibrate accordingly. Basically, I think you would be playing havoc with melodic, harmonic, overtones, and other issues unless you were listening to music comprised solely of just intoned sine waves (let me know if you are, 'cause that sounds like my kind of party). Additionally, whatever system you are using to make this adjustment, digital or analog, will be adding its own sonic signature to the process. This is not to say that the distortions you are creating are unpleasant, Chopped and Screwed comes to mind, but the idea that it's correcting history seems false.
In regard to the piano question, I know that if you look into my dad's piano (a gorgeous old Chickering quarter-grand he has had for years and is finally having rebuilt so it will stay in tune), there is a note about tuning frequency, which is not 440, but I cannot recall what it is.
Note that all of this is based on my hazy-at-best knowledge of music theory and my bordering-on-dangerously-inept knowledge of mathematics.