Unfortunately I'm not much of an expert when it comes to the neuro aspect of seeing. Generally in amblyopia you'd go for a combination of glasses to correct the blurry vision as much as possible and forcing the use of the affected eye. Did they try this on you and it didn't work?
When you say "very blurry", does it get better when you squint? Do you have glasses or contacts for your bad eye, and if so do they help at all?
Amblyopia is, in fact, caused by your brain shutting off one eye so that it doesn't interfere with the better eye. Amblyopia can be corrected in childhood by the use of patching -- covering the good eye to force the part of the brain that controls the bad eye to compensate.
Ambit Energy, Sales Consultant