Disadvantages of unihemispheric sleep
I thought this was an interesting subject and I had some time to do a little search around today.  I can't find anything better than the review you point out. All I can do is add a few interesting notes since 2001.  Nothing really turns over Rattenborg et al. 

Sleep is itself a poorly understood process and most of the theories of the necessity of sleep can teeter precariously with discoveries like this report that baby dolphins and killer whales and their mothers simply don't sleep at all for the first few months of life.  

The Rattenborg review is only guessing, but I think its clear that there is a cost to unihemispheric sleep, even if we don't know what it is.  Cetaceans and birds and perhaps reptiles having unihemispheric sleep are all cases where there are perpetual and strong selection forces that maintain the ability in these animals.  Without constant predation experienced by tasty ducks or the vagaries of being an air-breathing underwater mammal, animals quickly lose their ability to sleep with one half their brain, one assumes because the ability to maintain it is particular and easily lost with variation.  Modelling work of the hemispheres in sleep indicates that the connections between the hemispheres are modulated between the two modes of sleep - there may be advantages to such brain structures for instance. 

This blog post is a good read though and a bit more recent, though most of the references are from before 2001. Dolphins do use both hemispheres to sleep, but just not very often (about 15% of the time), indicating there is some advantage even for these animals.  Seals may alternate between bi and uni-hemispheric sleep when they are on land and at sea. 

If you were wondering if there was something you were missing - I'd say no.  At the time of this writing THIS web page is the sixth hit on a google search for the term 'unihemispheric sleep'....