Yes, You are 100% eligible under cap exempt,6 yrs counted from petition expiry date .Many people misguide you (Including some attorney and some company policies) saying you are not come under cap exempt.Don’t listen to anyone
My suggestion is find some good/reputed employer and go ahead with H1B transfer under cap exempt.
Can you re-confirm about the “6 years counted from petition expiry date” clause? My petition original dates are 2007 to 2010. So will it be valid in 2016?
I am told it is valid from the last date you were present in USA?
How was your experience, I guess you also have a similar case?