Ah I see. I thought it was rarer and more expensive than the Unbranded Black Reserve Note. Good for me though!! I shall hunt and acquire this deck.
It's relative rarity might be higher - but rarity alone is not the determining factor of value. There are only 1,000 Bicycle Gold Seal New Fan Back decks in white (Zenneth Kok/Coterie 1902), only 1,100 White Centurion decks (Theory11) and perhaps 2,000 or so Unbranded Black Reserve Note decks. Of those three decks, the rarest one is the one with the lowest after-retail market value. They can be had for about $100 and the value falls even lower when Zenneth offers a special on them, usually a combo offer with other products. The White Centurions typically sell around $250 or so but they're hard to find.
Ask me in a year, and there's a good chance the values of these decks will be different. Ask me in ten years, it's nearly guaranteed to be different. What that difference will be is anyone's guess. It's a big part of the reason why you should only buy what makes you happy, not what you think will be the more valuable or what will be the better investment. You want investments, go to the stock market!
As far as that specific deck (Bicycle Clot Ltd. Edition), there's two factors that will skew value on them higher in the US.
1) They were not distributed in the US, only in Hong Kong.
2) Most of the people they were distributed to were probably customers of the clothing store, who didn't attribute any collectible value whatsoever to them and treated them like any other pack of playing cards - as a disposable commodity, to be used and consumed.
Under those conditions, it almost doesn't matter how many were printed. What matters is 1) how many remain intact and 2) how many of those are in this country? Sure, you could trade with someone in Hong Kong on an auction site to get one, but while English is one of the nation's two languages, the other is Chinese, and there's a good chance a deck like this would end up on a Chinese-language auction site rather than ending up on eBay. Without knowing Chinese, you'd have a difficult time buying it even if you could and did find it there.
This is definitely a case where there are more factors at play than simply how many were made. The same could be said of the Bicycle "Bathing Ape" decks - another deck manufactured for an Asian clothing store that never saw US distribution. I think there were two different decks, and one of them was gilded - meaning it was more expensive in the first place, and will likely cost even more in the post-retail market.
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