They did aim theirs more directly at you but that first time I read the exchange it did feel like yours had a similar (though less stated) contempt for OP. I can see now that you didn't necessarily intend that tone to be directed at OP but rather about the situation itself, but that misinterpretation did feel like it was setting a hostile stage that OP's reply wasn't an excessive escalation over.
And my last edit was just to say that even if you had intended that snark, it wasn't (IMO) an unacceptable amount to begin with, but then commenting on the hostility in the response (which I agree wasn't harsh itself) felt like you were playing the victim because someone fought back in a fight you started.
Btw, this isn't an attempt to shame you or make you feel bad or anything. I'm only engaging with you about this because you did seem to be asking about the hostility in good faith and I could see why both of you were getting so many downvotes and upvotes from that exchange. Though not sure how useful my analysis will be here, considering it all started from a misinterpreted comment in the first place rather than intended hostility lol.