While I agree with you to an extent, I think what he means is that there is a mindset that for people to get in shape they need to go to a gym. Thus, a gym membership is expensive, and therefore for a lot of people, just not worth it. So instead of going to a gym, or working out at home, they do nothing, and ruin their health that way.
I'd also point out thou, that really 90% of losing weight is diet. Realistically, no amount of exercise outside of the workouts for people training for the Olympics or something is going to burn enough cals to lose the weight.
As to your points:
1) You can actually have an extremely versatile workout at home if you know how to workout and how to change some simple exercises. For examples: a) Men's or Women's Health Home Workout Bible, b) You Are Your Own Gym: The Bible of Bodyweight Exercises by Mark Lauren
2) That's just you. It can have the opposite effect on other people. They see someone lean and buff and they think I'll never look like that so why try.
3) Again, just you. Realistically, actual Bodyweight workouts don't really require a lot of moving furniture around. A lot of people also find television, music, etc... helps distract the body and the mind and you can go longer because you're attention is elsewhere.
4) No response
5) While true, again back to point 2, it can intimidate people