Something that a lot of people here strangely don't seem to understand: Throwing more bits at a noisy signal can't make it any quieter. You could copy it onto a perfectly noiseless medium if one existed; the signal would still be noisy.
I'm not familiar with the Korg unit so I don't know what resolution choices it offers, but no vinyl recording ever made can possibly require even 16-bit resolution, let alone 24, to copy its entire dynamic range and then some; the medium simply didn't have enough dynamic range for those extra bits to matter. The noise floor on Teldec DMM LPs (the quietest LPs ever made to my knowledge) never got below about -70 dB (depending in part on what you use for a 0 reference); anyway, 13 bits would more than meet the requirement.
Upshot is, if your Korg dithers properly at 16 bits, you can save yourself some storage space without giving up any sound quality as compared with 24 bits.
--best regards