The reason behind why people want it to run via JP is if the train depart from Udaipur at 5pm, then it will reach Jaipur around 12 in midnight. Jaipur being capital of Rajasthan, 12 is not an odd timing there. Some can finish their work in UDZ and can leave at 5 because 09722 leaves at 3, and the next train is at 10, so this additional service will get good response.
There are more pax on FL-DEE main line than FL-DEE chord line, from UDZ-FL section