I think the title is a bit misleading. Kleiner Perkins is asking Ellen to pay for its legal fees or simply " if she forgoes any appeal and lets the case die, the firm will forgive and forget, or at least move on."
Yes the NYT title is a bit off. Pao was always on the hook for those fees, and KP is offering to waive them if she doesn't appeal. Note that KP already filed a separate countersuit, which brought Pao's husband to the attention of the media, before the main case began. WSJ also says Pao is not outright rejecting the legal fees deal:
yeah, it's really, let's put this behind us, and we'll waive any claims we might have, and BTW this is how much it cost us that you might be liable for.
Thanks, we changed the title to try to reflect this.