They think, “Jesus was cool. I like him, and I’m gonna try to be like him.” Kind of like their guiding light is what would Jesus do? But there isn’t a focus on identification, recruiting others, judging others based on their religion, fear of God, fear of punishment for sinning, respect for clergy as an authority, rituals, worship, etc. Basically, just the example of Jesus’ life.
inb4: Christian lol!! got em!
Maybe I’m losing the context, when are you using this term? If you wanted a simple term to get the idea across you could just say you’re a “Christian atheist”, no? Most people probably don’t care tbh, so it’s unclear when you need to be making these distinctions.