some scattered thoughts ... my instinct here is that you can't get there by printing new lands, but you might by printing new nonlands.
Purely in terms of manafixing, the fetch/dual manabase is particularly good at getting 3 colors of mana, but in a two or five color deck there are already better options.
The colorless mana symbol on some Eldrazi cards is a special case. I believe that Battlefield Forge is already a better card in vintage than Plateau, and I run something like 4 and 2. A green/white deck with Eldrazi cards probably wouldn't have room for Savannahs at all. If they printed new cards requiring colorless mana, cards that could be used in different strategies, it might incentivize two color decks to look to painlands, or other nonbasics.
Consider the Horizon Canopy cycle. I think there was a few-month window where those lands were both very good and very underplayed in the format, but they suddenly (and perhaps forever) became bad with the printing of Mystic Sanctuary
Basic Land types, particularly Island, are a key part of the fetch/dual's monopoly on manabases in Vintage. During periods where Gush is unrestricted, Island-count becomes more important than manafixing, and Sanctuary is another strong incentive, which is tough to get around. Above both of these is the ability to get basics against a Wasteland deck. Printing new lands with the Island subtype makes fetchlands stronger, printing new lands without the Island subtype would need to be significantly better than dual lands to make up for the fact that you lose basic-fetching and gush/sanctuary enabling. "Significantly better than dual lands" is a pretty high bar, we don't know how high because that's literally never been printed.
There are things that could mitigate those advantages though, restricting Wasteland (or weirdly enough, unrestricting Strip Mine) would make the ability to fetch nonbasics less important. There are probably a lot of scenarios where Mystic Sanctuary could become worse/less relevant.
(On the other hand, the shuffle-effect is huge in Legacy with 4xBrainstorm, 4xPonder, but I think far less important in vintage, and it would be possible to print lands that shuffle your deck without dipping into the Fetch/Dual paradigm)
I could imagine a scenario where some printings successfully disincentivized the fetch/dual manabase. Either by printing:
- strong cards that are weaker or unplayable when you have land types or shuffle ("sacrifice if you control an island", "-1/-1 for each island you control", etc
- actually good hosers for land types or shuffling. Choke is not a good hoser, Narset is.
Would take a lot of things coming together, but I could imagine a fetch/dual-free future. For what it's worth I don't want a fetch-free future? I think the unique way Vintage manabases work is a big part of what makes the format feel special compared to other formats. Fetchlands don't bore or upset me the way they seem to for other people. If we just banned duals and fetches I'm not sure we'd end up with a funner format. Some of the things I suggested might work, but cause way bigger problems.