AMOLED is simply superior to LCD. In terms of black levels (tremendous difference), contrast, white accuracy and even colour range (people forget Samsung offer non saturated, closer to D6500k than even the iPhone options for their newest devices). Then there's viewing angles, and as you mentioned, resolution. Honestly, putting mobiles with LCD panels against the best of AMOLED is sort of like comparing LED HDTV's with the best Plasma and AMOLED alternatives.
And you preferring iOS and it's ecosystem doesn't detract from the fact that the Note 4 is simply capable of considerably more, especially on the multitasking front.