During his feud with Cena, he even talked about his kid on camera so I'm not even sure that qualifies as being out of character.
But yeah... breaking character is no big deal anymore. We see it on WWE programing on the network all the time anyway. If we can see Owens having a pleasant meal with Deam Ambrose and Cesaro (2 guys he's feuded with) in Table for 3, then him hanging with his kid is certainlyh no big deal.