Well, you can always revert to an older version of the YouTube app, and choose the 2K options from there, instead of relying on half-baked shenanigans. It's not as simple as it sounds, though, you can't just load the last YouTube app version that had the 1080p and 1440p options built in, so here's what you need to do:
1. Needless to say, you need to root your Note 4 first, so as to uninstall the default YouTube app, just disabling it from the app drawer menu won't work. Chainfire has a quick root method, as usual, if you are wondering what to do.
Download the YouTube v.18.104.22.168 apk directly on your Note 4, or on your computer, then sideload it to the phablet;2.
3. Use System app remover, or a similar app to fully uninstall the default YouTube player on the Note 4, and reboot the handset;
4. Install the YouTube v.22.214.171.124 you downloaded in step 2, and disable the Play Store autoupdate function, so that the older YouTube application version doesn't go to the newer, 2K-deprived ones.
That's it, now you can watch 1440p trailers and short films (not that there is anything much more than those) on YouTube, taking full advantage of that gorgeous Note 4 display resolution. As an added bonus, you will now have access to 1080p options, which are much more numerous, and will look no less great on the Super AMOLED 1440p panel.