It’s not quite objective but I agree you’d probably find 90 or 99% of respondents prefer the web look for desktop apps.
The time when desktop apps looked like a consistent toolkit is gone. Now it’s more important for a desktop app to look like its own web version than to look like the next desktop app.
But every web app is a snowflake, so there's no shared expertise to be developed. I don't expect anything beyond point and click. We've given up on empowering users.
That's because the mass market doesn't want to be empowered. They want to consume.
That said, phones and tablets are custom built for those people. The only people still using laptops and desktops are people who need to get things done. It's beyond time for desktop OS's and apps to start focusing on the power user again.