Not just home roasting, just fresh roasted coffee in general will give you a superior cup. Even though you roast your own beans, you have to learn the nuances of the beans that you may be roasting. After doing it a while you will learn how to adjust depending on the beans size, the beans characteristics, and your personal taste. That is the biggest part of home roasting is that you can do what you want with the bean. With roasters like us and home roasting, typically you will not get any blended coffee. Blending allows the roaster to save money since they can mix in lower quality beans and still accomplish a final taste. For us and home roasters, since it will only be the one bean (single origin) the smaller notes of the coffee may not be covered up by the additional beans. This lets the true flavors come out of the one bean for you to enjoy.
French press will give you a better flavor of the coffee and allow you to taste many of the smaller notes that are there. You will still get a good drip coffee if you have good beans, but you will miss out on the smaller flavors. The only problem with french press is that there are more variables that you have to get right to get the best out of the coffee.