There is no world where a 3rd party ticketing company should be able to own, or develop exclusive relationships with a venue operator.
The promoter, act, and venue operator should negotiate how tickets will be distributed when they draw up contracts. In this fucked up reality, the ticketing company owns the venues and controls all access to tickets and their distribution.
TM would still do tons of business in that world. They actually offer a compelling product to acts, venues and promoters, but they should always be in competition with the act and the venue box office.
TM and live-nation should be competitors but they have been allowed to form a vertically integrated monopoly. THIS is the actual shit the FTC was built to combat.