Mine are quite a bit round. It would help if you were to post a photo.
I’ll post a photo of mine in the morning, they are all 7 weeks old and fully grown.
Yes, they are very fat looking, but also super fast.
On a more seriously note, you might be giving them too many treats, but it’s impossible to tell without a photo. About how many weeks old are they? They should look like normal coturnix quail but bigger.
It is so cute how fat they are though

Watching them bounce about and be 10x more athletic and crazy than they look makes me so happy.
I don’t know about your quail, but I personally think mine are super cute. They bounce around like exploding popcorn kernels and speed about like little furry cannon balls.
Unlike most chickens, quail tend to stay extremely cute and tiny forever. I sometimes refer to mine as ‘Goofy little meatballs’.