I was saying that conversion from W to Lumen depends on the "eficiency" of that energy conversión in the real world.
The ideal monochromatic 555 nm source has a Luminous efficacy of 683 lm/W with respect to máximum response of the human eye means something as for each watt applied to the ideal ligth source (some kind of green laser ligth i guess) they produces an output of 683 lumens at 100% eficiency (respect to the response of a human eye).
But for an hdri the encodes ligth in form of a number (a measured number) there is no efficiency involved cause you just have that measured ligth straight away. There is no Watt input to a lamp to see how much that lamp disipates in other forms than visible ligth so you can have a W to Lumen ratio and cause HDRI's are linear encoded in nature i would asume that units are equivalent.