Only Office can run in a cloud-based capacity. Think Office 365 that is able to be self-hosted.
The protocol that connects the office suite to the file sharing platform is called WOPI (https://en.wikipedia.org/wiki/Web_Application_Open_Platform_...). OneDrive/Dropbox/Nextcloud all seem to support it.
Seems like Collabora and OnlyOffice are the two big players right now.
There have been various efforts to bring LibreOffice to the web, but I haven’t tested anything in a long time, so I can’t say if it works well.
But those are reasonable answers. I would rather see engineering effort go into fixing bugs in the suite, but I realize that the people volunteering to "Web-enable" the software aren't necessarily the ones who'd be fixing unrelated bugs.