No there most likely will not be a tablet ROM for the note 3. As of android 4.3, they have merged the smartphone and tablet frameworks, doing away with tablet ui. Saddens me to the core to know this, but they wanted to have a seamless experience across devices. I myself will miss tablet ui very much so. They only way to enjoy tablet ui will most likely be something aosp.
Android 4.3 does have a tablet mode if the dpi is under 192 if I am not mistaken but might only work on aosp since TW likes to break when you change the dpi.
It's android 4.4 and up that no longer has a tablet mode just phone ui or phablet ui modes when you change the dpi.
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