Have you tried this:
"Reversing Note Quantization
"Note events can be returned to their original record positions, or moved manually, by selecting the off setting in the Quantization menu. Alternately, you can click on the Q button while holding down Option.
"You can also undo the quantization of all currently selected notes by clicking on them with the Quantization tool, while holding down Option.
"You can also achieve the same result by selecting Functions > De-Quantize."
If you haven't destructively quantized your recordings, you should be able to get back to what you originally played. If not, I'm thinking perhaps you might be applying quantization BEFORE you get your notes into Logic; perhaps even at your keyboard? I have more thoughts on this, but check this first & then get back to me.