Simple once you put things into the right paddocks ..
(a) certification climb requirements
These relate to Design Standards requirements (eg FAR25) and impose MINIMUM climb capability to give the pilot some chance of going up when he/she desires - ie a limit on gross weight to make sure the aircraft can climb a little under specified circumstances.
These climb limits usually are referred to as WAT (maximum gross Weight for Altitude and Temperature) limits and ensure (at certification) that the aircraft has a modest climb capability in the takeoff, en-route, approach, and landing configurations.
WAT limits are across the board and have no interest in specific aerodromes or obstacles - they are still air line in the sand limits for the AFM.
(b) operational climb limits
There is a variety of these animals and the SID and missed approach requirements fit in here. Absolutely nothing to do with WAT limits and, near invariably, more restrictive.