Absan, as you yourself wrote, you can choose how to read someone’s words. Read HaLeiVi’s post carefully. He has a very good point. (disclaimer: I wouldn’t have necessarily phrased it that way, and I am not giving a “haskama” to the post. BUT if someone thinks that you can choose how to read someone’s post, this is a good place to start, since there is a good point there if you choose to read it the right way, as you pointed out.).
I think his point is that sometimes when people speak out for “ahavas chinom”, they are actually doing the opposite. It may be unintentional, but it is something to be aware of so that one can try to avoid it.