Self timer module is also used in many lens shutters to create necessary delay for M-sync mode. In M-sync mode, self-timer does nto work because the timing assembly is used for the M-sync in these shutters. But some of the jammed shutters I worked on had traces that the user forced self timer while in M-sync mode. Sometimes the shutter get stuck for other reasons.
There is no need to remove functioning self timer. They rarely cause trouble unless you force in M-sync mode. If the self timer assembly is wrecked, removing or replacing it is the solution. But if you remove it, make sure that the slot in which the lever goes through is closed. If left open, dust particles going in the shutter through it can cause a lot of headache in near future.