Snap To Grid Snaps To Something Other Than The Grid

Have you checed the "strength" of the snap in Preferences?

Good morning, and thank you both for your responses!

KPerry, I've turned the strength all the way up, with no difference, and as expected, turning it down seems to disable snapping all-together.
John T, number one isn't the case, so I figured number two must be. I can say that there is some difference, but the issue still presents itself initially. What happens now is that it'll still be a little off, but I can zoom way in and then correct the offset. Right now, for instance, I'm doing a fade in 1/4 increments, and it seems like it's always roughly 1/32 off in whatever direction the fade starts at, say if you're doing a fade out, it'll be a bit to the left, a fade in, a bit to the right. Another interesting thing is that this only seems to be affecting fades. After switching off the audio zero crossings setting as per your suggestion, I can get audio itself to snap to the grid correctly, just not the fades. I haven't tested anything beyond that, but I'm not working with anything else at this current moment.

Thank you both for your time!