I guess Zweihanders were ultimately still "too short" for real warfare though. Practically speaking, by the late 1500s or so, people only used Halberds and Polearms (ie: English 18-foot Pikes and whatnot). So perhaps it is more accurate to say that Zweihanders were not "unwieldy enough". In any case, Zweihanders only saw use in a period of one century or so... from the late 1400s through the mid 1500s.
With that said, Pier Gerlofs Donia's Zweihander was 6.6kg (~15 lbs) and 2.15m (7 feet) long. Zweihanders definitely could go above and beyond 3kg.
As far as Yari, yes, that is the most glaring omission in the article. Fortunately, the Naginata (arguably a kind of Yari) has representation.