An incident the other day had me thinking about this. I carry on my person 24/7. Some people think it's crazy that my gun isn't just nearby, but on my hip at home. I was in the kitchen grabbing a snack, and someone tried my door handle. Glock was out, ready to rock, with me posted up behind the wall ready to shoot whatever came through the door. The deadbolt was locked and they gave up. Just opportunistic burglars looking for unlocked doors.
Had they kicked the door in, and my firearm were left on the living room couch where I was before getting up to get a snack, I would not have had time to get to it.
Something to think about...from where you're at now, run to the front door. How long did that take? From where you were, how long does it take to get to your nearest firearm? Add another 2 to 5 seconds for reaction. Did your path intersect your path to the front door? Can someone get from the front door to your intersection point within a second or two of how long it takes you to get there from where you started?
Keeping a gun in the next room, nearby, etc may save your life if you have time to get to it. Keeping one on your person gives you what may be a necessary edge. Don't be lazy. Are you really prepared to defend yourself in a home invasion, or do you have a false sense of security?