We went the other way round a year ago, and never had any camping gear with us. Was already a bit cold for that in Europe in October, when we left, would´ve been mostly useless anywhere in Asia, and probably only useful during the last leg of our trip in Australia.
Especially considering, how much space all that gear will eat up on the bike, I think it was the right choice. Accommodation is plentiful and also pretty cheap in most parts of Asia. So much so, that some national parks & hiking routes excluded, its hard to find any camping areas, like in Europe or Australia. Most areas of India are so densely populated, that if you´d freecamp, your tent would probably be surrounded by dozens of curious passers-by most of the time!
We did carry ´travel liners´ (like a bed linen, but the shape of a sleeping bag), as some of the cheaper joints in Asia (especially Indonesia, India, Pakistan & Iran) had rather nasty looking sheets. Maybe it was only a ´mental´ help, but they didnt weight much, or eat up much space, so I´d take them again!