No, it should not.  The National Electrical Code (NEC) 210.11(C)(4) requires at least one 20-amp garage opener circuit for a dwelling unit garage, whether it is attached or detached from the home. Similar to the requirements in the NEC for 120-volt, 20-amp circuit in the bathroom, laundry, and kitchen areas of a dwelling, now one is required for garages. The intent of the code is to address the use of extension cords and plug-connected appliances and many portable tools that commonly draw 12 to 16 amps. This load is too much for the typical 15-amp branch circuit that frequently supplies the garage lighting outlet as well. The last sentence of the code states that this garage circuit shall have no other “outlets”. This means anything besides garage receptacle-type outlets. It would be a code violation to supply the garage lighting outlet from this branch circuit, but there is an exception to allow the circuit to also supply “readily accessible outdoor receptacle outlets”. “Readily accessible outdoor receptacle outlets” are those receptacles that can be reached without using a portable ladder. Holiday lighting receptacles up under the eaves will most likely only be accessible rather than "readily accessible" and are not permitted on this circuit.