I think we're comparing different things. While you appear to be talking about financial size, I meant in terms of technical capability.

Financially, yes. American companies are obviously larger. How else would they be acquiring all the European companies?

In terms of technical capability, European powerhouses like ASML doesn't even have competitors from America as far as I can tell.

It's entirely possible to argue they don't have competitors at all. For certain categories of products (EUV), they literally don't!