Are the desktop apps open source too? I have a faint memory of only their document server being open source or something like that.
https://github.com/ONLYOFFICE/DesktopEditors
The headless server is Apache, the client and visual elements AGPL, which might be the confusion.
This, however, can easily be legally patched around. It’s more just to make a point that it’s not supported without talking to them about a proper deployment. They also might have some code that is proprietary to make that large deployment easier, but it’s not required as long as you don’t mind the AGPL.
You can actually try this yourself with their NextCloud plugin. LibreOffice also has a cloud version available but it’s… let’s just say, in my opinion, it’s very bad.