Dogs may like their owner's shoes because they have the owner's scent, which may make the dog feel close and comforted. Dogs have a well-developed olfactory system and can identify different people, objects, and emotions through smell. When dogs smell their owner's scent, they feel very safe and comfortable, just like being with their family.
In addition, dogs may also like the shoes because of their shape and material. Dogs naturally like to bite things, especially hard objects, and shoes are usually shaped and made of materials suitable for chewing. Therefore, even if they are not actually playing, dogs may treat their owner's shoes as an object to chew and play with. Finally, dogs may also like their owners' shoes because they often leave the house wearing them. Dogs are social animals by nature and love to accompany their owners and protect their territory. Dogs may feel lonely and unsettled when their owners leave the house, and smelling their shoes may alleviate these feelings.