The biggest advantage of WinGet is that it is installed out of the box with Windows 11, recent versions of Windows 10, and auto-installed into Windows 10 by update processes deeply back down (I think all the way back to the original Anniversary Edition).
A smaller advantage is WinGet's default installed sources use Microsoft CDNs for package metadata which are often whitelisted in firewalls or at least gentler in their MITM attacks, and WinGet's primary source (the "winget" source) uses canonical installer URLs rather than repackaging (pulls the same EXE/MSI installer that you would if you went to a download page manually). That combination of well known URL patterns generally means WinGet has a kinder experience with corporate firewalls and corporate anti-virus tools than scoop can provide.
Where scoop differs, which might be good or bad depending on your point of view, is that it installs software to its own location, and self-updating apps don't self update. So, tutorials and programs have to take Scoop into account[1] since they won't be installed to their usual locations (bonus: scoop itself can be installed to your users home directory, or to C:\ProgramData\scoop).
Another wart is that maintainers of scoop recommend using scoop + winget[2].
I think it's neat, but personally, I just use winget to install things, and a variety of portable apps on a secondary drive (in fact, winget supports installing one-off programs to random locations). Another nice thing about winget is being able to update and manage software that wasn't installed with it too.
