Of course. If you use +notimingcheck option, when there are setup/hold/timing
happened in your FF, you will not got an "X" (notifier assertion in gate level verilog
library) and warning messages.
My opinion is you should better use +no_notifier instead, which will report setup/hold
time violation but will not change your FF's output into "X", which is good for running gate level design having multiple clock domains.
for simulaitn on gate-level without SDF file, you should with +notimingcheck.
for post-apr simulaiton with SDF file, you should don't with +notimingcheck,
otherwise the simulation should be non-meaningful.