No Claude Cartee - Office 2019 will ship without OneNote at all. You will need to separately install it if you want OneNote 2016, or not if you are ok with OneNote for Windows 10. And if you are on Windows 7, there won't be an Office 2019 for that, so you'll still be fully on Office 2016 (or the 1806/7/8/9 build of Office 365).
And if MS thinks OneNote is the carrot that will get enterprises to open up their firewalls to OneDrive, then LOL on that. You'd sooner get me to fully detail your car for a quarter.
OneNote has always been an afterthought for most companies and is usually something individual users use. I doubt many major companies have so fully integrated OneNote into their workflows that it would cause them to change On Prem vs Cloud storage policies.