Are you saying that it should be included in the lamp's efficiency or efficacy? Luminous efficiency is the percentage of light that can be used (i.e. relevant wavelengths), where as efficacy is a measure lumens/watt. (Sorry, just did a presentation on LED lighting).
I don't think this should be included in the lamp's efficacy, because this light is lumens that were generated by the lamp (which is covered by the efficacy), but because it did not stay as light energy, became heat.
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