Do you cut people off for lacking empathy?

I simply refuse to have people that lack empathy around me or in my life. It’s an underrated quality, but it’s so important to have, especially given how challenging life can be. As soon as I even get a whiff of apathy, coldness, or cruelty in someone, they’re out of my space/life. I cut a couple of people out of my life this year for not showing me empathy or real support when my dog passed. I don’t regret it at all. Does anyone else feel this way?