I'm certainly an outlier, but it seems intuitively likely that I'm experiencing a subset of what other people experience, rather than a disjoint. Ie, other people feel the socio-emotional component as well as the lust component, with me lacking the latter.
However, it might be difficult for most people to orthogonalize these two components, since for them they occur simultaneously. That's the relevance of my asexuality to my comment: I suspect it allows me to experience the socio-emotional component without also experiencing the lust component, and thereby more easily see them as different.
If it's true that there's both a lust and socio-emotional component, it still seems inaccurate (or at least, idiosyncratic) to refer to the combination of the two as "lust".