Forum Moderators: Robert Charlton & goodroi
If you do decide to submit, I recommend that you not submit the same page to more than a few of them, and also that you use different anchor text and descriptions. This is because if they are too similar, the Google algo will recognize that they weren't naturally acquired and might discount them.
As for any potential harm, there is an old argument that no link can hurt a site, because otherwise a competitor could hurt its rankings by creating the wrong kind of links. But I don't know for sure if this argument is valid or not.
But if you're sure that won't happen, then there probably isn't much risk if you do the submissions carefully. By this, I mean don't submit the same page to more than two or three, and use different anchor text and descriptions. Also, you should spread the submissions out over time