In terms of commercial farming, it's probably desirable to have the better varieties. Maybe get some of those seeds from Australia then for Iceland. Have variety.

Mostly just a suggestion for the issue of "lots of a plants, that we don't especially want." At least it's edible. According to a quick search, it cost apparently $30 to $40 dollars per acre to harvest an existing field (Purdue custom rates survey for combines, obviously no input costs considered, Iceland's maybe different).[1] Maybe add a bit further for cutting, raking, windrowing, and threshing parts.

Either way, with an existing field you just want to get rid of, hiring a combine and running it over the field is not that expensive (based on the available prices). Throw it all in a pond, pool, or barrel and let it soak until they're safe to eat. Not horribly expensive.

On the sainfoin thing, probably just easier and less work for their objectives. WP says sainfoin's already "highly nutritious plants" used for a long time for forage and nectar production.

Frankly, they seem like a trade-off personally, since Lupin varieties grow rapidly in horrible climates and terrain. Sainfoin is apparently finicky. "difficult to establish as pasture, not persistent in grassland, do not recover well from overgrazing." Lupin is probably a better choice for anything in the artic, sub-arctic, tundra, and taiga biomes (which is most of Iceland).

[1] https://www.farmprogress.com/harvest/custom-harvesting-could...