While the religious right are hypocrites full of shit & miss the teaching of compassion & benevolence to strive for a better humanity, some people get sanctimonious & invoke "empathy" to browbeat others & police opinions rather than to uplift & realize the aims of empathy.
It's a common, selectively applied phenomenon around here. Someone bashes a deluded redditor moaning the "loss" of their "AI friend" to a ChatGPT upgrade, and an outraged commenter snaps back "your takeaway is they deserve to be alone? have some fucking empathy". In contrast, a deluded, conservative mother moans the loss of her disabled son's medicaid, and we rightly bash & criticize that idiot getting just desserts at leopards eating faces instead of demand "fucking empathy".
When invoking "empathy" suits them, they act like displays of "empathy" settle everything when they don't. Not everything is about empathy, and some things need to be criticized. Even real (rather than performative) empathy is only a start.
To do good, we also need reason to inform us how & we need the truth to support us. We need to moderate feelings with reason & let logic guide us to the best answers. Otherwise, we're indulging in appeals to emotion, and we risk succumbing to feel-good zeal & irrationality liable to do less good than harm.