Their contention is that WBTV recruited John Wells (ER Showrunner), R Scott Gemmill (ER EP/writer) and Noah Wyle (ER star) to develop an ER reboot. This isnt in question and all have been open about it.
The dispute is that when the ER reboot fell through, Crichton claims that they just carried on with the show under a different title. WBTV, Wells, Gemmill and Wyle claim that it is a wholly different project that did not evolve from the ER reboot, but just came along immediately after the reboot fell through, with the same group of people.