Yes, but this should never be the default. If something crashed, it's often a sign of an underlying problem that should be solved. Programs crash for a reason.
I've seen many "Windows import" sysadmins who think it's perfectly natural to reboot a server because something is not working. It's not. Automatic restart of crashed processes should be the exception (as in "we need to keep the reactor core cool") rather than the norm.
Sometimes yes, sometimes no. Providing the system owner the ability to make that decision is a feature.