Well, a cat is not so much connected with the concept of home. we all know that cats like to be at home and they like to be in a warm place .. . but a cat is not a symbol of luck for a new house (at least in my area) and I don't think that the concept of the cat participates in any tradition or positive superstition.
It sounds quite disappointing but every culture has its own symbols. I think that in Greece -probably because of the good weather- people had so many outdoor activities (fishing, gardening, cultivating crops, taking care of the productive animals, outdoor celebrations, etc) that their world was so much outside of the house.
Even if the winters were not small at those times, they were not either as big and heavy as in northern Europe.
The fireplaces in the house were significantly smaller than the ones in the northern countries and generally the house was more likely a symbol of family than a symbol of warmth.
Also as in those times (when traditional superstitions were born) the medicine was not so advanced , it was posible that cats were carriers of some common cat illnesses as they would definitely go out of the house during spring, summer and autumn and mix with stray cats. People wouldn't be happy to deal with an illness, so cats were likely to stay out most of the time.
This used to happen in the north of Greece as far as I know. But I think it depends to the area, the village and each house, so
maybe in other areas things were different.