I think that the opposite would be true, while not necessarily critical. If you put the "Stop" N.C. button(s)first, then they are hot the whole time that the control power is present. This is based on the right side of the control ladder being grounded. If the "Start" N.O. button and its parallel sealing contact comes first, the "Stop(s)" is/are only hot while the relay or contactor is picked.
Joe