Partitions can still be installed between the work pods to provide a measure of privacy. Many of the open-plan offices I've seen have no partitions, the only thing between you and everyone else is a computer monitor. It's insane.
With partitions, at least I don't have to watch the office gumbies milling around flapping their arms and smacking their pieholes. Half of my monkey brain is tracking their movements for threats, and the other half is struggling to prevent me flinging handfuls of my faeces at them out of annoyance.
It depends on the partitions and how other surfaces are finished.
With sufficiently high walls (about 6'), carpeting, and acoustic ceilings, you'll actually cut noise quite a bit. Lower and sound travels in straight lines.
One of my gigs had a "pod" style cubical layout with 6' high walls, glass in the upper 2' or so, arranged in groups of four (see diagrams below). It's still one of the best workspace designs I've seen, period.