I use SPDs on my road bikes all the time. There's no need to use other pedals unless you like them better or if you have knee issues and want pedal-cleat system with more play. I have one pair of cycling shoes--my beloved Shimano MTB cycling shoes. My last pair lasted 10 years, and the cleats wore out (stripped, stuck, could not replace them). The shoes were still good. So I got myself another pair a few years ago. I use them for my road bikes, my errand bike, and for spinning. No mountain bike at the moment.

You might want to consider some campus pedals. They are SPD on one side and no clips on the other side. I have those on my errand bike. That way, you have a choice.