I have recently gotten in to $20 liberty double eagle gold coins and have noticed a big difference in the sale price for the same grade, the highest value or cost would be PCGS and dont consider other TPG,S NGC is highly rated as well but dont really care for the holders, have seen some IGC but its still less desirable but ANACS is way down there no disrespect to the ANACS collector but it seems to me you would have a much harder time to sell.
Not really sure what the question is. The pricing structure would go as follows though as the market has shown PCGS CAC>NGC CAC>PCGS>NGC>ANACS>Raw PCGS would be considered tier 1a with NGC tier 1b, ANACS would be tier two but have a good purpose and their place in the market.
If you're talking about resale value of $20 Libs purchased at or near melt, these are commodity coins, and the holder of the TPG should make far less difference than if the coin demands a much higher premium, either for an elevated grade or for rarity (or both). As long as you're confident in the coin's authenticity, and you should be with the big 3, don't be talked into spending extra money on the holder when you're buying common date, common grade gold.
this is across the board, I am seeing the trend my last purchase was a random date 64 of course there going to send you the most common one which is the 1904 expect a much better year the next time around I do find it funny though when people slam my purchases especially my BTC FOAM ones have already filled a slab box with my modern going to the same with liberties and saints
The sole reason I purchase gold coins in slabs is for the authenticity guarantee. For that purpose, it doesn't really matter all that much to me whether its PCGS, NGC, ANACS, or ICG; all four get that primary job done.