Personally, I've had no problems whatsoever running the Office 365 apps needed by my school on Debian's version of Firefox ESR. Aside from Outlook and Teams, I'm not asked to use them very often, as most assignments are turned in as PDFs, but when I have been required to use Word and Excel, I have had no problems.
Apparently GNOME 46 introduced support for Microsoft 365 accounts including OneDrive support in the file manager, so a distro that runs a recent GNOME version, such as Fedora or Ubuntu, may be your best option. But without that, you can still use a third-party project like onedriver or abraunegg's OneDrive client.
Unlikely. While in theory someone could create a compatibility layer, it would be quite a challenge, as obviously, kernel modules are very closely tied to the specific kernel. I did some web searches, and only found the same few dead projects (that didn't completely solve this issue anyway) that you found, and other forum posts that offer little encouragement.
Make sure you have the latest version of Windows 10 or 11, and the latest drivers for your network hardware. If you do, then there's probably not much you can do about this.