sure -- but we know the reporter wrote down divinity claims, even in the earliest gospels.
Keep in mind the Lord-Liar-Lunatic argument is aimed at those who claim "Jesus is a great moral teacher" based on the things Jesus is quoted as saying. Jesus is quoted as making divinity claims, many of which are obvious if you have good knowledge of Hebrew scriptures and religious practices. The "Legend" option (Jesus didn't really say those things) is still open, but that makes it harder to claim anything about the value of Jesus' moral teachings.
Well the 'obvious' thing is what's at issue. Because he (apparently) didn't refute other's claim of his divinity isn't a sure bet that he was devine - that's a very indirect thing and nothing obvious about it.
Keep in mind the Lord-Liar-Lunatic argument is aimed at those who claim "Jesus is a great moral teacher" based on the things Jesus is quoted as saying. Jesus is quoted as making divinity claims, many of which are obvious if you have good knowledge of Hebrew scriptures and religious practices. The "Legend" option (Jesus didn't really say those things) is still open, but that makes it harder to claim anything about the value of Jesus' moral teachings.