To be honest, I have never given much thought to the fact that Luke 5:17-25 occurred in a home. But I was looking through A Visual Guide to Gospel Events and read the following paragraph.
"With the miracle in Capernaum, Jesus revealed the far-reaching nature of his authority by healing the paralytic and declaring the forgiveness of sins. It is important to observe that the location for this event was not the Temple in Jerusalem or even a synagogue- both traditional Jewish strongholds of religious authority. Instead Jesus demonstrated that the authority of the Messiah to heal and to forgive sins extends into every public and private sphere on earth- even a private home. So it was that the Pharisees and the disabled man had come to this home, and so it was that Jesus used this home to make known his authority on earth."
Jmaes C. Martin, John A. Beck, and David G. Hansen, A Visual Guide to Gospel Events (Grand Rapids: Baker, 2010), 53.