Advice: Spares his ex's feelings

Charnell
So recently a man I've been dating lately have decided to define our relationship. After our talk I announced to him that I wanted to change my status on different social media ( I like doing this, sue me lol). 
I don't know if it's because I'm emotional because I started my period today but he didn't want to do it because his ex still stalks him on social media, and he knows this. And doesn't want to hurt her because she's not in a relationship. 
My initial shock left me speechless because a few moments ago he was confessing how much he adores me and how important I am to him. But when I brought this up, his justification was because of the holidays and not wanting to hurt her. I asked him if he still cares about her and he says no. 
Am I crazy not to believe him because he doesn't want to go public? Why hasn't he blocked her- especially since he told me they ended really badly and she wants nothing to do with him (supposedly). 
Any advice ladies?