Am I wrong to be conserned my LDR boyfriend, didn't send me a screenshot of who he was talking to?

We were talking like usual last night. It was relatively late and things got a little hot (we started sexting). Whenever I opened the app to reply to him, he was already online (obviously talking to someone else) I ask him to send me a screenshot of who he was talking to (since it was late and I know his texting patterns) and he named a few friends. Tried to talk sweet to me and everything, but didn't prove anything. I've caught him texting other women before that's why I'm doubtful.
Am I wrong to be conserned my LDR boyfriend, didn't send me a screenshot of who he was talking to?
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