I loved all of the solutions offered. Feline’s solution seemed like the best one and your finished product is the proof. I had been thinking of just a large square, which would have been the same size as the square that you completed with the two small squares. Your choice is better, because it retains your original border. I would be interested in seeing what a fan would have looked like.
But I have to say that I’m really amazed at the expertise of the various members who were able to change your original concept and show a rendering of their ideas. In fact, I’m in awe of their technical prowess.

If it really bugs you that much, I like it BUT I think platyhiker has the perfect solution!!

Absolutely beautiful! Sometimes, we are our own harshest critics! I think it looks amazing just as it is!

That really makes the center stand out.

Your finished idea looks great!! Show us when finished!!

This is really nice. Love this fix.

It is gorgeous. I would appliqué a mini octagon to mimic the center one on each corner.

How about adding a triangle on top of the 2 squares, the side closest to the corner? Or another suggestion would be to make it a full square on point so it would look like a larger diamond.

Your next row of flying will make it look really different. I don't see your "bandaid" look at all.

jillmc's picture is great. But I didn't dislike the bandaids. It's a lovely quilt.