I laud the attempt and I think it's important there are more projects that try to compete with their American counterparts. I do want to gently note that if your entire pitch is "we are a bold, independent European alternative that liberates you from the hegemony of the established American players," maybe don't name your product the exact same thing as the product you're replacing? "Office." They named it "Office."
For me, the charitable interpretation is that office is very close to a default term for the category of the software. Open Office, Libre Office, WPS Office, Only Office, Polaris Office.
One thing that may contribute to Europe's and the world's independence from Office is the notion that it's no longer a term distinctly associated with a Microsoft product.
I don't entirely disagree though because they could have attached some distinguishing prefix or suffix. Maybe that's what the .eu is.