Not sure if its the same study that we're talking about here, but there was a study done on conservatives and (neo)liberals empathy levels towards others during the covid pandemic's initial onset, one of the works it cited as supporting evidence looked into political biases in relation to empathy in 2010, and while those classified as liberals (not remembering how they defined liberal for the paper, will have to find my citation & check later) more often attributed external factors to people's suffering (someone is poor because they suffer from bigotry based discrimination), conservatives almost universally attributed personal factors to those same people's suffering (someone is poor because they use drugs) UNLESS that person was listed as conservative in which case they were more likely to attribute it to an external factor.

They do have empathy, just only for those who are also conservative.

Interestingly, if I'm recalling which paper it was correctly, jordan b peterson (who is now a right wing influencer) actually contributed to it, this was BEFORE he started appearing in right wing circles and was while he was still someone who would be considered respectable

IMPORTANT: I'll have to find my statistics notes to back this up, so for now, please take this with a heavy grain of salt