I think paper might have a little, but making paper negatives I ignore it even with exposures > 1 hour.
I'm not sure I completely understand what Peltigera is saying... is it that on the left side of the intensity/density curve the slope is decreasing, and then it becomes essentially constant? Which is kind of strange if you think about it.. because some initial exposure is needed before anything happens at all. And aren't we in that long straight part of the curve when we are exposing film? Seems to me there must be more to it than just where on that curve we are, but I don't know much about it.
There's a ( coincidental? ) similar thing during development of paper... for the first 15 or 20 seconds nothing is visible at all, then pretty quickly a lot of image is visible, and then it visibly develops more slowly after that for the next couple minutes.