More likely no audible difference, unless you can hear above 20 kHz, and your recording has information past that, and/or you're listening at much too high a volume so the 96 dB noise floor of 16 bits is audible.
We are limited in quality not by the bit depth and sampling rate. We are limited by the mastering of the recording, the equipment used to record and master the recording (monitoring speakers and microphones, etc.) and the players themselves (if there are any), whatever distortion they use. All of this is far more important.
Why are you interested in tracking down "high res" recordings? You'd be better off tracking down well mastered or remastered recordings, if you want fidelity. These may or may not be "high res", or even vinyl.