term for software that support multiple people working on it at the same time, a la google docs or figma

Sounds good to me! I hope they support the open document formats better than onlyoffice currently does. Also euro-office isn’t a particularly good name, although it has the advantage of being explicit about where it’s based.

This is only a part of france’s “LaSuite” (very original name guys), that seemingly will replace every equivalent american service.

https://lasuite.numerique.gouv.fr/

They generally work pretty well (demo on the site) and are a mix of homegrown solutions and rebrands of existing projects like matrix. All of them are open source.