It's really hard to find the right section for this, but perhaps somebody can answer this for me..

If I feed a Thav onion to a rank 10 chocobo and get it to rank 11, does the chocobo gain any stat increases? Or is it just for the skill points?

I ask because, I'm not particularly interested in running 2 different specs on the chocobo, I'm quite happy with just the healer skills unless being rank 11 vs. rank 10 has a stat difference.