No problems at all if the circuit is DESIGNED properly.IIRC, when we've tried to design something using interlocked contactors it looked like you could get problems with how it behaved on restoration of power.
That one in the picture was not, it was thrown together in a hurry as a kneejerk reaction to sump water getting into places it shouldn't. While we were working there it was easy to manually manage the pumps but out of hours was a different matter. As it happened it stayed in use for months, much longer than initially predicted couple of days.
All those bits were literally laying around, even the enamelled copper wire was stripped off a burnt out transformer and the 2 red wires go to an hours run meter [from a scrapped boiler system] so they were able to monitor on a daily basis how close to flooding they were.