Another thing to think about (although to a lesser extent than nliu's answer) could also be that the E.C. series is made using SLC (1atm,298oC and more importantly 1M solutions). This is usually used when explaining electrolysis not producing the products you would expect it to.
But yes I would say the E.C. does not tell you anything about the rate of these reactions.
Yeah, using the electrochemical series to predict rates of reaction produces ludicrous results. For starters, lithium reacts less violently with water than potassium, even though lithium is a stronger reductant. Why? Lithium is smaller, so it holds onto its electrons a bit more tightly, leading to a higher activation energy and hence a slower reaction. The electrons are so loosely held in potassium that the activation energy is a fair bit lower.
Or think of hydrogen peroxide. The fact that we can store it for years shows that the electrochemical series doesn't predict rates of reaction.
The electrochemical series can be used to predict equilibrium constants, and we know those aren't directly related to rates of reaction.