For example: In one case the caller should be transferred to one phone number, in another case a different phone number. Do I change the name of the event?

The event name of ‘zammoIvrTransferRequested’ is a pre-defined event name, required to trigger the action of transferring the call. If you change the event name it won't know what to do with that. Instead, change the Event Value fields (phone number that it gets transferred to as well as the transfer message).