I just ripped a CD to FLAC, all tracks list as Accurate.

When I listen (via Foobar2000 or VLC), I hear lots of little clicks and other artifacts. I then played the corresponding CD from the same computer, and didn't hear them (some are quite obvious).

What does this mean? Shouldn't an Accurate rip play without any such noise?

Alternatively, if I'm to trust that the copy is perfect, are these players known to add such pops during playback?