We had the same problem but menopause took care of it. Now HE is looking for extra coverage because I have my head in the freezer and all doors and windows open. lol
I know that does not answer your question. You could try that- butting batting pieces together can be easily done. Not sure if it would be noticeable.
Based on my initial comment - if you don't make the pattern directional, you could just flip it when menopause hits.