I've been told the opposite -- in the recruiter view on LinkedIn, they can only see your 3 most-recent positions, and they almost never expand the fold to see the rest. Thus, it's critical to curate those.
For example, let's say you previously worked at BigCorp, but left to pursue your startup idea (Startup A). In the meantime, you've consulted at another startup (Startup B), and you're working at SmallCorp to make the ends meet until your idea takes off.
You'd be better off listing StartupA, SmallCorp, and BigCorp (or StartupA, StartupB, and BigCorp) as compared with StartupA, StartupB, and SmallCorp, since only the most recent three jobs will be shown, and recruiters tend to more heavily weight BigCorp signals.