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Yes, in the end, I was able to do initialization checks on these entities:

  model_curve_check = model.getCurveByName(curve_name.get)
  library_curve_check = library_model.getObjectByTypeAndName(OpenStudio::Model::CurveBiquadratic::iddObjectType,curve_name.get)

And if these curves exist, I can do any work I want on them by doing the following:

if model_curve_check.is_initialized and library_curve_check.is_initialized then
  model_curve = model_curve_check.get.to_CurveBiquadratic.get
  library_curve = library_curve_check.get.to_CurveBiquadratic.get

  library_coefficient1 = library_curve.coefficient1Constant()

  if library_coefficient1 != "" then
    model_curve.setCoefficient1Constant(library_coefficient1)
  end

  model_chiller.setCoolingCapacityFunctionOfTemperature(model_curve)
end

And if only the library curve exists, then I do the following:

if not model_curve_check.is_initialized and library_curve_check.is_initialized then
  library_curve = library_curve_check.get.to_ModelObject.get.clone(model).to_CurveBiquadratic.get

  model_chiller.setCoolingCapacityFunctionOfTemperature(library_curve)
end

I even encapsulated this in its own function, one for biquadratic, one for quadratic.

This seems to work reasonably well now.