A radio access network (RAN) may limit the number of channel assignment messages that it transmits to a wireless communication device (WCD) when the quality of one or more wireless coverage areas available to the WCD is impaired. For example, if the paging channel utilization of a given wireless coverage area is high, or if the WCD receives a signal strength from the given wireless coverage area that is low, the RAN may refrain from transmitting a channel assignment message via the given wireless coverage area. Similarly, if the aggregate paging channel utilization of a plurality of such wireless coverage areas is high, or if the WCD receives an aggregate signal strength from the one or more wireless coverage areas that is high, the RAN may transmit channel assignment messages via a limited number of wireless coverage areas.