"callous" comes close...
It's definitions seem to mean that the person will not feel something that exists and should be felt, and in common usage I believe it suggests a more purposeful dismissive attitude towards feelings.
I would note the words "cruel" in the definition below, which requires some malice .. malice requires intention.
and particularly "disregard" -- to disregard, you first regard then dismiss ? Or to make it more clear, perhaps the two words together as in the second example sentence: "callous disregard"
callous from Oxford Living Dictionaries
Showing or having an insensitive and cruel disregard for others.
‘his callous comments about the murder made me shiver’
‘But despite the ineluctable force of modernization it's surprising how strongly and deeply rooted this callous disregard for women is.’
I would note the words "without sympathy" below, which, to me at least, implies some degree of understanding what they were being unsympathetic about.
callous at Cambridge English Dictionary
without sympathy or feeling for other people:
As callous as it may sound, trying to help some students is a waste of time.