Agree. You can combine as many RTWs with other tickets as you want.
I am currently in Europe. Used an Award to Asia, then flew on the outbound of a CMB-LAX ticket to the US and on an LH award to Eruope. Now i will be using the LH award back to LAX, then use a second RTW (where i used CAI-LAX) to continue to Asia, continue on the first RTW to Europe, take RTW number 3 to the US, use then the LAX-CMB return to Asia........
Never had a problem. Very flexible, change dates, change routings.