There was a time, long ago, when gold did have weight in TES. Apparently, someone, somewhere, didn't think it was 'fun' gameplay to not be able to haul around all those coins and need banknotes in order to amass great wealth. For 1 thing, it did make Gems and Jewelry more important than just decoration and vessels for enchanting. In fact, jewelry was used like this in many ancient cultures - a means to carry (and show off) your wealth without carrying a pouch of coins around.
Daggerfall had gold with weight: it came with two problems,
gold was heavy. 0.1 for each coin so 3000 coins would weight 300, probably your carry limit.
Now anything elven or better had an better cost / weight value than gold, so you had an drop gold button you would get very familiar with, this let you drop gold so you could carry more loot.
Now both in modern time and historically gold has been very valuable. current gold price is 54$/ gram, 20 Kg gold is worth over an million dollar, yes it's serious money and no issue to carry enough money to buy an good house, you could not do that in Daggerfall it was as they only had copper coins and no other options except letters of credit.
Now it could work if they had additional currencies add gold and silver to the copper coins, however this would increased complexity in a game settings where they removed pants to avoid confusing players with unfamiliar concepts

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