Has your Proof Funds letter been greater than offer? Any problems

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I'm trying to place an all-cash offer which requires a proof of funds letter.  

My offer is less than the list price. 

My bank balance is greater than the list price.  My proof of funds letter will also confirm that I'm able to pay the list price but I won't. 

Have you had any issues with this in past? 

I'm looking to weigh the pros and cons of submitting the offer w/ the proof of funds exceed the offer.