I don't wear shoes in the house but I don't think there's much validity around cleanliness unless you've got a shower by the front door and are doing a full wash and change (and even then, I'm not convinced this would make a positive difference in most scenarios)
Mud and stones very easily get stuck to shoes, and tracking in water is a dick move too.
Mud and stones very easily get stuck to shoes, and tracking in water is a dick move too.
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Most places around me have a mat and shoe rack at the entrance.
It's always wet and muddy as well, so it might as well be the same as "always take off your shoes"