Errr... not really. I agree with tjal on this one.
Awai's power is this.
When she calls a kan, those will become the four dora she needs. Thus, really it is only the FIRST FOUR URA DORA that is covered by Awai's power. If Saki calls for more, it will open another dora indicator but it does not necessarily mean that those ura dora will be in Awai's hand. It can be in another person hands or Saki's hand. That and I find it highly unlikely that Saki will call more kans if she knows that it will only make another player's hand raise value.
....
Looks at Quarter's match
....
Looks at the second to the last hand specifically Kyouko's ...
Well, unless its part of her plan or she wants that player to win.
