That would be the case if they were doing an on market share buyback. A lower SP would mean they bought back more shares, and those shareholders who hung onto their shares would have a bigger piece of the pie in the future (and therefore higher dividend yield etc).
But they are not doing that. They will just decide the total # of shares to cancel and pay each shareholder $X.xx per cancelled share. Everyone still owns the same size piece of the pie and their future dividend yield is unchanged.
You may want to rethink your ST handle if this is the kind of thing you are asking chief! I'm just saying...