An archive of physical media serves a very different purpose from a bunch of computers loaded with the games from those media that are available to be played. It's kind of like a film vault that stores original movie film, vs. a place like YouTube that lets you play copies of those movies. And playing the game is not the same as examining and handling the original media (CD/tape/cartridge/manual/inserts/box).

Sure, archives often permit you to actually view their original media in person, but that's not always part of their mission. Sometimes the best they'll do is give you copies for a fee. Other times they may lend their original media (or sometimes copies) to qualified entities (spoiler alert: not everybody qualifies). There really is no single "right" way for this to work.