I can't answer with absolute authority, but from what I've heard, you won't get to hear any particular frequency
exclusively unless the feeder has set it up that way. And since there's more possibility of "dead air" if a scanner is limited to only one frequency, most of the feeds will be scanning a number of frequencies. It's a disadvantage, for instance when you're wishing to hear every single transmission of some particular exchange between ATC and aircraft, because sometimes the scanner has tuned to another freq by the time one of the parties replies, but that's the way scanners do things...
BTW, welcome to the site.
Are you enough of a character to gather your own fan club, like some of the controllers?