Dating

Do you think my ex (33M) lied to me (26F) when he said he only lives with his ex-girlfriend for the sake of their kid?

My last relationship was with a man who has an 8-year-old son with his ex-girlfriend. When I met him, he told me that he had been separated from her for more than two years but that they still lived in the same house for the sake of the child, it was actually his ex's parents' house, a very large house and he had his own space. At first, I found it a very strange situation and was cautious. We had nightly and early morning video calls where he showed me that he slept alone, and I could see that the way he talked to his ex on the phone was very cold and distant; they only communicated from time to time about matters concerning the child. I also have very recent chats between them where she affirms and confirms that they have been separated for more than two years. My relationship with him only lasted 6 months (during the relationship I realized that I was not ready to date someone with a child) and in the second month, he moved to his own apartment. There were never any problems with the ex, and I'm not sure if she knew about me (my ex didn't have much communication with her in general), but she never showed up or called him to claim anything; they only argued about money matters. I was very much in love and trusted him a lot. Now that we have broken up and time has passed, I am questioning everything that happened and I think that maybe the decision I made was a mistake. What do you think? Do you think I had enough evidence from my ex to believe him, or have I been very naive in this situation? Was what I did wrong?
Do you think my ex (33M) lied to me (26F) when he said he only lives with his ex-girlfriend for the sake of their kid?
Post Opinion