Not “a house” — your house. Ownership is handed back to the tenants He is leaving.
Ezekiel watched glory depart the first temple before it fell. Jesus’ sentence is that departure spoken in advance of the second.
Matthew 23 ends the woes with the desolate house. Matthew 24 opens with the disciples pointing at the buildings He just emptied of meaning.
Desolation became architecture in AD 70. The sentence was not withdrawn.
The desolate house is not your house. The filled house is the people with Immanuel.