The above being said, here is my opinion regarding stats:
1. No one needs stats to simply watch and enjoy a baseball game.
2. However, if you are on a baseball forum discussing and debating baseball with serious and knowledgeable fans, which we all are, then you need to be able to back up what you're saying. It may not sit well with some people, but IMO, saying that "I know what I see" isn't going to cut it because of points 1 and 2 above, especially when the stats say otherwise. That is JMO, but I'm going to call you on it every time. This is not directed at anyone in particular, but just a general statement.
3. Often times, even when what we see is obvious, it's nice, fun, or interesting to be able to quantify things. For example, Papi's baserunning, which NS asked about in another thread. We all know he was bad at baserunning. We even heard the comment "I don't need stats to tell me that", which is fair enough. However, I was intrigued to know exactly how bad he was. Nicely enough, there's a stat for that.
4. In short, stats are both wonderful and necessary.