After LHB of Vikramshila, it is very much possible that Lichhavi will depart around 4PM from Anand Vihar and all other LHB superfasts (Mahabodhi, Poorva, Vikramshila) depart between 3 and 4.
Bihar Sampark Kranti and Gomti also may create problem but surely these superfasts will not have to face overtake of Rajdhanis upto Mughalsarai.