You are confusing reward RTW and revenue RTW. They are completely different
creatures.
For reward ( points) RTW, you have to have your points in the programme that you
want to redeem. If you are looking at Mileage Plus rewards, you must have mileage
plus points. If you are looking at ANA rewards, you must have ANA points. Most
reward RTWs have a maximum of 5 stops, which is very restrictive.
For revenue RTW's, you can have up to 16 flight segments, and 15 stops. Price will
vary according to mileage bands - 29,000, 34,000, or 39,000. These are very expensive
to buy if the origin is USA/Canada, but quite inexpensive if you start/end in Japan.
The positioning flights will pay for themselves. Only the revenue RTW can be booked
on the staralliance.com website.