Exactly.
core == processor
integer core != core (rather integer core is a component of a core)
AMD used two phrases in describing what Bulldozer was that were not deceptive: module and integer core. They elected not to use these phrases instead, went the deceptive, untruthful one: core. Outside of the context of Bulldozer, references to a "core" as an "integer core" are virtually nonexistent. Since the debut of the multicore CPU, cores meant individual processors sharing the same socket.
Evidence is found in how Bulldozer was designed differently. A core in any other CPU is effectively an independent processor. By the same logic, AMD's module has more similarities with a core than AMD's integer cores do. Evidence, therefore, strongly suggests untruthfulness here too.