Yes, because caring for that someone is still a perceived "feel-good" for whatever reason.
Are most humans, in your view, masochists, fools, hypocrites and liars?
No, yes, yes, yes.
still a perceived "feel-good"
No, hurts. Not perceived feel good, hurts. You can't define something as its opposite.
And no, not because it hurts, but in spite of it hurting.
Hypothetically, would you still care for your children if it brought you nothing pleasurable?