Artifically trying to reinterpret what the original was,
only reduces the SNR further.
Actually that point is only true if you're trying to recover something that
is already gone beyond recovery.
Consider the harmonic regeneration
possible with things like the Hyperprism 'Harmonic Exciter'. Technically
that thing makes distortion, thus has NO place in hi-fi.
That might be the end of it, but it isn't. I sometimes restore sound from
FM recordings and vinyl. I'll use FFT NR to reduce the steady background
noise by 18 dB or more, and this can also reduce the highest frequencies of
the sound I want to keep. When I use the Hyperprism tool I use it very
minimally, to rebuild some harmonics on the top of the surviving frequency
range. This spreads the background noise back up the spectrum too, but more
thinly than in the original, by far. Sure, I've absolutle butchered the
signal if you want to compare it with the original, but the original was a
faded copy of something irrecoverable, and the restored copy has a clarity
in the upper harmonics that is very good, carries the fine detail to make
it easy to hears words in low-level voices, and to easly tell the tibral
character of instruments apart, and to hear the original reverb properly
again.
Sure, I've reduced the SNR if you consider the exact waveshape and original
spectrum, but if the FFT NR and the harmonic regeneration are set up well,
the message, the real meaning for the signal, is enhanced. I've played the
results of this work to people who are very strict about the use of ABX in
testing, and who are very particular about their listening gear, and not
one has said I damaged the sound. Some have been very enthusastic about how
clean it sounds. I used to make bad mistakes in overdoing the treatment,
but I've found that it works, and the better I get it, the more likely it
is that one method works in more cases with little modification.
If you limit the notion of SNR to a purely technical expression of changes
to an original record, it's technically impossible to 'improve' it anyway,
so to me, that is a bad basis for the definition. My method has more risks
but I think it can also get real improvement.