What is wrong about US companies having US pilots based in Europe...?
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Iberia has crews based in Miami, FL, for their A320s operating the Carribean...
A French charter company has French crews based Los Angeles for their flights to Tahiti...
Japan Air Lines crews with Los Angeles base for their sector to Sao Paulo...
And in my old days with PanAm, I was based in Berlin...
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DHL operates through EAT with European crews, based Brussels...
What may happen eventually, is FedEx or UPS having small size airplanes based in Europe, operated by local pilots... Do you want to be a career captain until retirement, on a Cessna single engine...?
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Happy contrails