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.
it's a video game archive. Virtually no video game due to the young age of the medium is in the public domain, so both creating digital backups, let alone making them available is a pretty good way to find yourself in a court with the rightsholders.
I don't think anyone would ever get in trouble for creating digital backups, but yeah: making video games available to the public without permission from the copyright owner is a good way to get at the very least ceased-and-desisted.
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.