Sounds like a rough day. I don't think you can "combat" anything. But remember people say a lot of things that they don't necessarily mean - especially when putting it out to other people. It is easier to boast, "talk a big game" to a third party.
If he thinks you treated him atrociously, then that is his perspective, right now, and people's perspectives change. If you are working on you and you detach and treat him well (when possible, I know you don't interact much) then this statement on your behavior does not hold much water.
Keep your head up, he is spewing, if he didn't care then he would be indifferent to you not still spewing.
Me:33 H:34 T: 3yrs M: 2yrs H depression triggered and we are "unhealthy": 7/15 H wants to "make it work" 12/28 BD: 3/10/16
