spartan quilter

I am quilting this top for my grandson for a graduation gift that he will get at Christmas, so he can use it during the last half of his senior year. My question is, should I do the ovals only going up and down the quilt, or should I also do them going across. I am showing the penciled diagram and some of the quilting that I have done.

Thanks for all help and advice. Always good to have so many minds to help me make up mine.