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You are correct, there is no direct input for capacity when using Coil:Cooling:Water. The results are reported to the eio file for html table.

For the coil, the load used to size the coil is shown as well as the Nominal Total Capacity at the rating point.

Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Coil Load [W], 42031.01138
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Water Flow Rate [m3/s], 1.50123E-003
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Air Flow Rate [m3/s], 1.60489
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Inlet Air Temperature [C], 26.08272
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Inlet Water Temperature [C], 7.22000
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Outlet Air Temperature [C], 12.80000
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Inlet Air Humidity Ratio, 1.11374E-002
Component Sizing Information, Coil:Cooling:Water, MAIN COOLING COIL 1, Design Size Design Outlet Air Humidity Ratio, 8.47862E-003
! <Water Cooling Coil Capacity Information>,Component Type,Name,Nominal Total Capacity {W},Nominal Sensible Capacity {W},Nominal Latent Capacity {W},Nominal Sensible Heat Ratio, Nominal Coil UA Value {W/C}, Nominal Coil Surface Area {m2}
Water Cooling Coil Capacity Information,Coil:Cooling:Water,MAIN COOLING COIL 1,43294.78,29077.08,14217.70,0.67,5089.86,51.62

For the ZoneHVAC:Baseboard:RadiantConvective:Water, you are right again. Even though there is an input for Heating Design Capacity, the result is not reported. This would certainly make it difficult to know what the baseboard capacity is. I think this is a mistake and should be corrected.

 ZoneHVAC:Baseboard:RadiantConvective:Water,
  HeatingDesignCapacity,   !- Heating Design Capacity Method
  autosize,                !- Heating Design Capacity {W}