My question is about the traveler who has a house in a country in the west as well as another house in a country in south east Asia, does he shorten the prayer even if the visit to one home lasts more than 6 months?

Ustadh AbdulAziz al-Haqqan

If he is truly a traveller and did not intend to stay and reside there, this is what sh al Islam Ibn Tayimiyyah held to be the stronger saying and Imam Ibn Uthaymeen as well.