No, it doesn't make sense.
The warning you see is a simple way of saying, "Hey, three people have already posted answers here. It's unlikely there are going to be many more than three ways to respond to a given situation, so please make sure you aren't saying the exact same thing as someone else before you post another answer."
Just because one person ahead of you had a bad idea, doesn't mean that you won't have the same bad idea. In fact, if one of the first responses was a bad one, chances are even more likely that other people will have the same bad idea.
The warning has nothing to do with the quality of the posts and only to do with reducing redundancy. Even then, it's a warning and doesn't actually change your ability to post. If after reading the other answers you still think your answer is different enough to post, then do so.