It’s easier to explain the other way around IMHO:

• People with low empathy don’t care about the feelings of others.

This in turn makes them not see their partners as nothing else than a vehicle for their own pleasure, both explaining objectification and not caring to pleasure their partners.

It also means they’re attracted to social and political theories that put the good of others - including the common good - below one’s own self satisfaction (not just in money terms but also things like feeling superior to whole groups of people) as they validate the ways in which they themselves naturally tend to behave, hence they are rightwingers (not just the Fascist far-right but also Neoliberals).

In other words, those two things are not linked as Cause and Consequence but rather are both Positivelly Correlated with a Low Empathy personality