It's clueless to think you can make a screen sharper through scaling (presumably, you meant adjusting "dpi"). And to claim subpixels have nothing to do with sharpness but still hail the Note 2's lack of a pentile effect as responsible for it's sharpness. What do you think the pentile effect is? And to think you can divine screen sharpness through an encoded web video. Trust me, you can't.
You can pixelate software elements through improper scaling, but you can't sharpen a low density screen through software scaling. For example if you zoom in enough (a form of 'scaling') on a small image even viewing it on a super sharp screen, yeah, it'll look bad, but that's not the screen's problem. If you've got a low density screen, the sharpest of images will look crappy no matter how you scale them. The S4 mini is sharp for the same reason the Note 2 looks sharp: because they share the same complete RGB matrix and almost the same density.
Pentile is nothing more or less than false advertising, a way of artificially inflating the raw spec. It's not the worst thing in the world, it just requires a much higher purported ppi to reach the same sharpness as an RGB matrix screen.
I don't think you understand my opinion, maybe due to my bad English. To say clearer, what I mean is the Note 2's screen's scale is basically the same as Galaxy S3 with the same 320 dpi - zooming from 4.8 to 5.55 inch. This means, a same font of texts, a word with a length of 120 pixels on S3 (1/6 of the total length) is still 120 pixels on Note 2 (also 1/6 of the total length), but 15.625% bigger in real-size (what you actually see). So is the result is what you can see clear on S3, you can see it CLEARER on Note 2. That's is the technichque Samsung usually implements, like on Note 8.0 that make it much more sharper than iPad mini in browsing. If we compare a same line of texts with 5mm of "real size", the result from a screen like One X basically has 18% more pixels to illustrate the detail of the text, which results in being clearer than Note 2. And if you really have a Note 2 (i'm using it), when visiting some websites in desktop mode (like xda forum, lol), the text is very small and not crisp anymore.
But how about Galaxy S4 Mini? "The S4 mini is sharp for the same reason the Note 2 looks sharp"? OK, now we will consider the same thing as Note 2 above. For a line of texts equivalent to 1/6 total length of the screen, it takes only 93.33 pixels, which means noticeably less than S3 and Note 2 with smaller "real size" also, so it cannot be as sharp as S3. And in fact, Samsung did rescale from 320dpi to 240 dpi on Galaxy S4 Mini, which also means for a same font of texts, the number of pixels for displaying increases about 15.3%, so from 93.33 pixels I said above now it is appox. 108 pixels, which is not too far from Galaxy S3, and the payoff is the screen is cramped. So we cannot say "because Note 2 is sharp so Galaxy S4 Mini is also sharp"
About Pentile screen, it is not totally "nothing more or less than false advertising", but more like "false understanding of the major and the misleading criticisms". Why? Because most of people don't understand what is "Pentile". In fact, this "technology" can ONLY be used on OLED (AMOLED) technogy, which has the uneven luminance and lumious time of different color subpixels. Even experts cannot show the "exactly" ppi of an Pentile Amoled screen (because even with Pentile, different stripes layout leads to different result), while some people try to do an easier way that comparing the total number of subpixels, which is totally false. In fact, Galaxy S4 has 623 subpixels/inch, slightly higher than Blackberry Z10 (615) and iPhone 5 (565), but it is MUCH more sharper and not really different from the normal RGB 1080p screen like Xperia Z.
With Pentile screen, the main culprit of all criticism is not the lack of subpixels, but the uneven scale of pixels (because they're not real pixels) and uneven big-small gaps redundant. That's why they call the subpixels layout of S4 is innovative while still Pentile, because it is much much better than the traditional matrix on Galaxy S3 and together with the high ppi reduces most of Pentile problem (in fact, with traditional matrix, even with 441 ppi probably there will be something there)