I could be mistaken, but I assumed the initial question was regarding a hot water heating system in a building, as opposed to a steam heating system in a building. I view air separators and deaerators as similar devices installed on completely different systems. Air separators in hot water heating systems are small, in-line devices. DAs in large steam plants are big tanks. Hot water systems have expansion tanks, steam systems do not.
My background is pretty much all utility and industrial powerhouses, but over the last few years, I've been reading up on residential/commercial steam & hot water heating systems. Some of the newer systems have very impressive technology. So did (do) some of the very old steam systems. A lot of the control devices that were invented prior to small electric motors being commercially available are nothing short of amazing.
Anyone who is interested should check out "The Lost Art of Steam Heating" by Dan Holohan. It covers steam heating technology from the 1850's through the decades that follow. He has also written several books on hot water heating. He has a very laid-back, informal style of writing - even funny. For a more formal view of hot water heating, check out John Siegenthaler's "Modern Hydronic Heating - For Residential & Light Commercial Buildings". Holohan writes for service techs, Siegenthaler from and engineering/design perspective. Both are worth reading.