> Most Japanese people have a green tube of grated wasabi in their house. (https://www.sbfoods.co.jp/products/detail/16343.html)
>> 原材料名: 本わさび、西洋わさび、...
...except the everyday stuff shown in your link indeed contains substantial 本わさび as a first ingredient, whereas the typical stuff sold in the US[1] is effectively just 西洋わさび and happens to be explicitly labeled "For external Japan" (despite also being manufactured in Japan) for reasons.
In other words, a consumer in Japan who settles on "close enough" isn't really making an equivalent compromise as a consumer in the US.
[1] https://www.sbfoods-worldwide.com/products/search/001.html