It also depends on how the conversion was made. If using Avid's native Mix&Match, it maintains duration (48kHz) so there is no pitch shifting gong on, just a reshuffling of frames/fields through a motion effect to make picture match. In that case, no need for audio pitch correction.
Have you determined what type of conversion is being done? If using Avid's Mix and Match, the audio never gets adjusted, thus no need for pitch correction. If the conversion is changing the duration as you find with frame for frame adjustments using the source settings playback, then there can be a pitch shift.
Depending on the amount of pitch adjustment used, it is hard to notice the difference. For example, 24->25 is .7 semitone adjustment and unless you have perfect pitch, will most likely not hear the difference.
An easy way to hear whether it a sound element is being affected. create some 1K tone and add to events to the timeline. Adjust one of them with pitch shift. You will hear the difference at the cut point. It may still be hard to tell in cases of .1% as with 24->23.976.
Once you've got it, save it off to the bin.