Everyone I've talked to about it gave up on the iOS Facebook app and just started using the web version.
Facebook is, IMO, one of the gold standards now for large-scale iOS app building. I had the pleasure of hearing one of their people speak about this a few weeks ago and they're very much at the forefront of iOS engineering.
http://www.tuaw.com/2013/03/05/whys-facebooks-app-so-much-be...
Plus, the Facebook app is way different now. I don't see how it'd be possible for them to implement web-based chat heads without killing the performance (even on my iPad 3 it isn't 100% smooth). Lots of times these clever design concepts cannot be implemented on the web because of its relative performance drawback.