Should regraded PCGS coins that come back with a lower grade receive a + designation?

I am not familiar with all the different regrade servcies available from PCGS, but I assume that downgrades do happen in the course of PCGS's business operations. Hence my question.
What prompted the question is the idea that if a + signifies a coin which is in the top end of a given grade, any coin in a higher grade would have to be considered better than a + coin in a lower grade (theoretically a low end for the grade coins has to be better than a high end for the grade coin that has a lower numerical grade)
For example you have an PCGS MS65 coin that has no problems that have developed in the holder [i.e. spotting]. If it is submitted for a regrade and comes back MS64, should it receive a +?
Would your answer change if the coin comes back MS63?
Would your answer change if the coin comes back an AU58 (or an AU59)?
Would your answer be that it depends on when the coin was originally graded [i.e. graded in a looser grading environment as opposed to a tighter grading environment]?
Would your answer be that it depends on how eye appealing or non eye appealing the coin is?
Your thoughts please.
What prompted the question is the idea that if a + signifies a coin which is in the top end of a given grade, any coin in a higher grade would have to be considered better than a + coin in a lower grade (theoretically a low end for the grade coins has to be better than a high end for the grade coin that has a lower numerical grade)
For example you have an PCGS MS65 coin that has no problems that have developed in the holder [i.e. spotting]. If it is submitted for a regrade and comes back MS64, should it receive a +?
Would your answer change if the coin comes back MS63?
Would your answer change if the coin comes back an AU58 (or an AU59)?
Would your answer be that it depends on when the coin was originally graded [i.e. graded in a looser grading environment as opposed to a tighter grading environment]?
Would your answer be that it depends on how eye appealing or non eye appealing the coin is?
Your thoughts please.
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Comments
Is wht it is
Sometimes
I know of a mercury dime that was sent in a number of times came back in 4 different grades some with FB and some without FB
1- The coin was grossly undergraded. It comes back MS66+ or MS67, and it deserves it.
2- The coin was a bit undergraded. It comes back MS65+ or MS66
3- The coin was correctly graded. It comes back MS65
4- The coin just falls short of the grade and comes back MS64+.
5- The coin was definitely overgraded and comes back MS63+ or MS64
There are plenty more possibilities, but the theme is constant. The original grade only matters when dealing with compensation in the event that the grade changes. Just because a coin no longer meets the original grade (it could have turned, the graders may have just missed something) doesn't mean that if downgraded it is definitely high-end for the lower grade.
<< <i>Just wait til a service starts the ++ designation (The top 3% of the grade).....
Hmmm... I'll bet designations involving no fewer than 2 + signs are already used on more than 3% of all active eBay coin auctions.
Keeper of the VAM Catalog • Professional Coin Imaging • Prime Number Set • World Coins in Early America • British Trade Dollars • Variety Attribution
I know of a mercury dime that was sent in a number of times came back in 4 different grades some with FB and some without FB >>
...talk about perseverance!