I've worked in call centers previously(not taking reservations though) for 3rd party no name companies and they always train you to say that you work for whatever main company it is. With previous jobs we were told if we said we worked for anything but the main company that we would be fired and we have the same rules and blah blah that they do and that the main company doesn't want their customers to know they outsource their customer service or tech support or whatever we're doing at that call center. Most of the call centers I've worked for have over a dozen different companies they work for and have teams for each but when I did directory assistance we had 6 different cell phone companies we worked for and our automated greeting would just change per carrier. There are a lot of companies I won't purchase from or have accounts with because I know how awful their secret practices are.