The graphs seem to me like they were selectively showing data which makes europe look bad. E.g. only showing the market cap of big companies or showing the decline of the european share of gdp but not the US one (which I assume was also falling), etc. Of course they made it to support the argument but to me it made their case much less valid.
East Asia industrializing does not somehow diminish Europe or the U.S., so measures like "global share of GDP" for the continent have nothing to do with the subject matter at hand, which is why Europe, with certainly a sufficiently large GDP, is not able to give birth to large corporations at the same rate as the U.S.
Now we can argue whether being able to do this is a good thing or a bad thing. But for some reason companies in Europe tend to grow at a slower rate. Is this good? It's a tough call. But it has nothing to do with national GDP, and throwing in non-sequiturs comparing GDPs of nation states is not contributing to the discussion.