Will BTC value depend on their history?
There is none, and I don't think it will ever be significant. There is a gentleman's agreement that's part of what makes Bitcoin work that a Bitcoin is a Bitcoin is a Bitcoin.

You can have a few "rare Bitcoins" with extra value. I might pay extra to have one Bitcoin transferred to me directly from the coins in the genesis block, for example. But just like there can be a few rare dollar bills, a dollar only works as a medium of exchange if more or less, we all agree that a dollar is a dollar. A prime serial number is cool, but your grocery store can't care about that if it wants to do business.