Me thinks your question is misformed.
There are shoes that are SPD compatible. Shimano used to offer both a road or a mountain version of the SPD system. These same shoes also support other SPD like cleats (Crank, Speed Frogs, etc).
Shimano now offers a pedal system that looks a lot like the Look triangular plastic cleat.
If you are asking about using SPD or SPD like pedal systems and associated shoes on a touring trip, then I would have to say, "Duh, that is a no brainer". You do need to ear footwear that you can walk around in.
The Look style cleats are very comfortable to use, you just cannot walk around in the shoes very well. I used to have them on my critereum bike. This meant 2 pairs of shoes in my collection. When I got a touring bike, I wanted SPD like pedals on the touring bike. I was not about to have 3 pair of shoes in my collection, and converted all road bikes to SPD like pedals.