Tile vs hardwood mudroom

I am buying a new home soon and am planning some of the projects I want to do. There is hardwood throughout the home, which I love and plan to be keeping.

The back of the house has a small mudroom and half bath that are connected to each other and can be seen from the dining space. These are both currently hardwood, but I am thinking of replacing this for porcelain tile (or a recommended tile). How do people generally feel about this? Are there reasons to keep the hardwood over changing to tile?

My thought is that since this area leads directly out to the back yard, and we live in a location with four seasons and a ton of snow in the winter, the wood could get easily damaged by the dogs coming in and out/get dirty often