Don't really see a lot of point in moving around within round 4. I guess if there is someone left on the board they think has really slipped and shouldn't be available, they could do a 2-for-1 trade. Even their lowest two 4th rounders should be able to be swapped for the 6th pick today, so by chart value they could pretty easily get all the way to the top if they want.
I think more likely to see is them trading a comp-4 for a future 4th or maybe even 3rd.
Good point. I'm just thinking that all these picks would likely not make the team so making some trades may be a wise move.