It's a bit unrealistic if you pick up every piece.
I wouldn't call it unrealistic, the question is unrealistic for who? An heroic archeologistic, well the archetype in movies only seem to be after one item, but if anything it's unrealistic for them to ignore everything they pass regardless of thier purpose, be it monetary gain or to give to a museum for history (theres an Idea rather then museums being reserved solely for the bizarre how about ancient items of history, even libraries where you actually fill the shelves not trade a book in to vanish).
What is unrealistic is how overloaded all the dungeons are with loot after hundred's of years, even with current occupants of researchers and treasure hunters. And every week bandits and necromancers are kind enough to refill the place with themselves, resurrected enemies and loot in all the containers. Sometimes they'll even do it the second you leave and but leave everyone still dead.
More careful and limited placement of items and ore points would aid the games feeling of how precious an item you find is and make it harder to come by gold. It would add so much "value" in the game in more ways then one. It would have meant less work for them placing all this stuff, just requiring a little (more) thought.
Still I would have loved to dump gold on Girder, the first settlement you enter, nice town, pretty river, some space for exspansion, lack of good walls, emotional attachment to the person that saved you from Helgen, so would be a nice cause to spend money and get you're own manor to live there.