Okay, I am attempting to wrap my head around this and here is where I am running into issues. Trading cards and other collectible objects tend to get some of their appeal from what they are. Baseball cards had the stats for the players, MtG had a game attached to it, vases are pretty and hold flowers well, old toys are neat, coins are pretty and have historic value, etc. What you are producing only makes people want it because of its rarity which is honestly where a lot of collectibles get the vast majority of their value. The thing is that there is going to be no reason to collect it other than bragging rights and potential trading. Basically its only value is as a currency. Without some sort of hook to get people interested in it for reasons other than trading you are effectively just making a currency.
It just occurred to me I misunderstood part of it. If an actual asset was created, such as art work or a piece in a game then that would put it more in line with the other things. I was thinking that people were just creating assets in a sort of ethereal way and generating ownership. Basically assets 0-1000 exist and a collector is attempting to get ownership of one of each or all of the 1s or whatever. New assets are created forcing collectors to constantly update their collections. Sorry, my misunderstanding.