That article also has the sentence, "...Many receivers can use as many as twelve channels simultaneously, allowing quicker fixes....".
So the question becomes, can the almanac be downloaded in pieces from multiple satellites simultaneously, thus allowing the entire almanac to be downloaded in less time than it takes to download it from start to end from one satellite?
There is nothing that says a data file (i.e., the almanac) cannot be broken up and downloaded in pieces from various locations simultaneously. Indeed, that is how bit torrent works.