Wow. This is quite a question. What is a success rate? If the motion or appeal was filed on time on the form you just mentioned, and the evidence does overcome the concerns spelled out on the Notice of Intent to Deny, he may be right. This is my completely unscientific opinion.
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Your employer really, really needs to retain an experienced immigration lawyer to review all the facts, advise them, and handle the case. Your employer can find one through http://www.ailalawyer.com.
Bank statements do not prove ability to pay, and ability to pay must be established for the entire period from the filing of the labor certification onwards.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship. Answers on Avvo can only be general ones, as specific answers would require knowledge of all the facts. As such, they may or may not apply to the question.
If your employer has sufficient documentation and evidence to show it now has the "financial ability" to pay, they can file a Motion to Re-open/Re-consider - a detailed analysis and evaluation by an attorney would be advisable in this case. There are also other issues that you need to be aware of related to your status, pending I-485 etc. so you should consult an immigration attorney who is specialized in employment based immigration to discuss this further.
Disclaimer: The information provided here is generalized and should not be relied upon as legal advice. This communication does not create an attorney-client relationship.