Certainly the brewing process will extract different flavor characteristics from your grounds as it goes through its cycle. But a well-designed machine is designed to produce a full-bodied, well-balanced beverage as the END product.
If your machine is working properly, you shouldn't really have to evaluate the drop by drop extraction process as being "less tasty" or "more tasty" as it goes through that cycle. A good cup of coffee has many subtle complexities, and whatever comes out of that machine at the end is also part of that overall "recipe."
Yes, if you know your coffee to be "over extracted", then perhaps you can compensate a bit by pulling a cup early; but that's a bit like buying a bad pie and just eating out the filling because the crust doesn't taste as good.
You have to adjust your process. You can select your beans, grind them accordingly, and select/use a machine so the end product is to your taste. But if everything is working as it should, pulling that cup early is more likely to create a dull, lifeless brew than just letting the process complete as designed. Second-guessing your machine is a hack, not a solution.