In cases like this, where it's fairly obvious who had the better career (hence, was the better pitcher), I don't need to have watched them pitch. And it really doesn't matter what people thought of them.
We know what happened. For roughly 3200 innings, Hunter allowed 3.26 earned runs per 9 IP. he didn't strike batters out at a high rate, and his ERA was lower than it would have been had he played in front of an average defense.
For roughly 3200 innings, Carlton allowed 3.04 earned runs per nine, struck out batters at a very high rate, and didn't benefit as much from a great defense. He then went on to pitch another 1800 innings, continuing to strike batters out at a high rate, and increased his ERA to 3.22, still lower than Hunter.
What would watching them pitch tell me?