Point 2 is where it's at: there are too many things we can and should ask data when making decisions - no single-mumber summary can do it all, especially without content (I believe Fisher had the same approach)!
My take on p-values: 1. p-values do what they are designed to do, which is not what most people using them imagine them to do. 2. Trying to fix p-values is a trap, because no single-number summary can do what people want p-values to do! 3. Trying to explain p-values is also a trap, because...