PCGS Submission Question

I posted earlier today some coins I will be submitting. A couple of the coins are likely worth far more than $300 if they grade as I expect. If I submit all in an economy submission, could it at all influence the final grade of the coin. Or said another way, if I paid the higher normal submission fee is the chance of a higher grade improved... or is the grade the grade regardless of how you submit? (which is what I would hope is the case.) I am willing to risk the maximum insured value of $300 per coin but not if the likelihood of a lower grade comes with the economy sumbmission.
<a target=new class=ftalternatingbarlinklarge href="http://www.mullencoins.com">Mullen Coins Website - Windycity Coin website
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Comments
<< <i>Don't worry about, they will not change the grade by what you mark for value. >>
I have always given the value of a coin several grades higher so that I could get that psychological grade advantage. It has not worked for me yet.