The advice you are getting from people at work isn't correct. Either they don't have the exoerience they claim, are basing statements on false assumptions, or have unwarranted biases.
Drop bars don't have to be ridiculously low. You can set them so riding with your hands on top is similar to your current flat bars. Use the drops for getting lower for more speed, going into the wind, or just an alternative position. Plus you can ride with your hands on the brake hoods in at least a couple of ways. So overall you have more hand positions with flat bars.
A new road bike, maybe in an endurance e style, can add enjoyment in more speed and longer distances.