It has been a long time since I was able to hold reserve, but according to our contract, a trip by definition, does not include Base Airport Standby. You may be assigned a trip from a Base Airport Standby, but the Base Airport Standby in itself is not defined as a trip.
Section 2 Definitions
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85. TRIP
A series of flights normally commencing 1 hour prior to scheduled or rescheduled departure time from a pilot’s base and normally terminating 30 minutes after actual block-in at his base, except as provided in
Section 12.A.6. (Operational Trip Return to Base) and
12.B.3. (Standby).
Reference to 12.B.3. discusses trip assignments from as Standby period.