Personally I vote road bike. You're here. You're at least somewhat serious about cycling. You're asking the question. I'm guessing you know you're ready for a road bike because there's something "off" right now. And if your current bike does NOT fit you like a glove that's enough reason to dump that bike.
So if you have a lot of dirt roads to traverse or other roads that you don't think a road bike is appropriate for...then fine. Stick with the hybrid. But if you want to join the folks on the road...a road bike will be more fun for most -serious- riders. Yeah yeah.. I know...you can be serious on a hybrid. You just go slower. For most folks, going faster is fun.
Just my personal preference, of course. btw, I'm 62. Did 60mi today on my Spec. Roubaix. Spent a chunk of time at 19.2mph but mostly at 17-17.5mph. I spin around 85-90 most of the time when I'm not tired. It was simply a lot more fun for me to get to this point on a lightweight road bike. Climbing hills makes a huge difference on a road bike as compared to a hybrid. I've dropped 90lb in the last three years and for me, riding around on a hybrid is just riding a bike. On a road bike at 17mph I feel like I'm really translating power and it gives an entirely different feeling to riding. It's very encouraging in terms of challenging myself to learn to ride better and it's more rewarding in the simple but critical "just fun" category.
You may be doing 30mi or less now, but with a nice road bike you'd be able to do closer to 50mi with the same effort. And in the process you'll learn a great deal more about cycling.