Farrel, in your 'lazy eye' whats your corrected vision? Is it marginally 6/9 or 6/12ish?
As for your question. I believe the FAA are much more friendly towards amblyopia cases.
If I recall correct, some one from pprune with 6/12ish vision has an FAA Class 1 with CPL etc. The FAA require some sort of a flying test before they issue the medical however.
I hope something works out for you
