Realistically, the vanillia comes into play tapped duals (Cinder Barrens) could probably be Basic. The tempo delay of coming into play tapped is a not insignificant cost, which is why Shock lands and the like are so valuable, because you can avoid that cost. If you played a deck of nothing but those duals, you'd constantly be a turn behind for the whole game.
Tri lands are trickier, but something akin to Gateway Plaza would likely be balanced as basic if limited to three colors at a time and a deck of all these lands would be two turns behind the whole game (except that that they literally cannot be played as the only lands in the deck, because you'd never be able to play one).
Land like this, though, would make cards that search for basic lands far more powerful. Land search was very strong in Tarkir-BFZ Standard and everything devolved into 4-5 color good stuff decks, and Basics that can make multiple colors make those kinds of decks that much easier.