Its not that much of an exaggeration if you consider that the original Construction purpose is gone. E.g. Ford no longer making cars but still trading shares of Car companies would not be itself considered a continuation of Henry Ford’s original setup.
OP was quoting wikipedia which also says that business+chief+employees were transferred to a new company Shin-Kongo (ie “New Kongo”).
So it depends on what you mean by “they”, the company with the old name Kongo Gumi is no longer in construction, but otherwise the company with the new name Shin Kongo is, as a subsidiary of another conglomerate.