Jitter during recording is different. It shows up as sample errors and that gets baked into the recording. I imagine it would show up as Harmonic Distortion or, based on a quick reading, reduced signal to noise.
What I mean by sampling error is that the value that is written down won't be correct. For instance if the ADC would record 2.0 V at T0 with a perfect clock, with ADC jitter it might record 1.99997 or 2.0004 instead.
As far as I know it doesn’t produce the same noise side bands that jitter in playback does.
Still, both should be minimized for the best musical recording experience. :)