Amniota is defined otherwise (as a node, BTW), and so is Reptilia:
unnamed_| ___________Theropsida = Synapsida
|_Sauropsida = Reptilia = Eureptilia_|
"Unnamed" is called "Amniotiformes" in http://dinosauricon.com/taxa/tetrapoda.html (good idea) and Stegocephali by Laurin & Reisz (I hate them for that). Sauropsida is stem-based, Reptilia and Eureptilia have (AFAIK different) node-based definitions, so they are the same only in currently known contents.
Consensus extends quite far into Ther- and Sauropsida.
Sure it can. Pisces has been dismissed. :-)
One more reason not to use it. :-)
That was long before phylogenetic taxonomy... anyway, he didn't consider monotremes and birds reptiles and nevertheless called their eggs amniotic. Romer has done great deeds, and it was a good idea by the SVP to name a prize after him, but there's no need to make a demi-god of him. :-)