Okay. So. I had mixed result with this.
I first tried sitting at my dining table this afternoon. First I used the iPhone pano option, where you hold the shutter button and then pan across your view. It did okay, although the table ended up kind of bendy, and there are some missing spots on the bottom that would need to be cropped out or cloned back. Obviously my table is straight and not bendy. I then took five individual images and tried to stitch them together, and it did not work in either Lightroom or Photoshop. It could kind of get the middle two images together, but the outside ones just didn't attach anywhere.
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So then I decided to try outside. No one would really do a pano of a table anyway, unless you were just trying to capture guests at a dinner party or something; but a table is an unlikely subject for this kind of image. I had much better luck outside.
First I tried with the regular 1x zoom on the iPhone. I had wondered with my indoor image fiasco if the wide angle was messing things up. The first image was with the in camera panoramic, hold-and-pan method.
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Then I took five individual images and took them into LR to see if this set would stitch together. And it did!
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I then switched to the 2x zoom to see if the focal length had any impact on the ability to stitch, and it did not seem to. The first with the hold and pan method:
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And the second with five images stitched together in LR.
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In general I prefer the results of the stitched together frames. The colors seem better to me (these were all shot jpeg in the default camera app) and I think you have a lot more control over the edges; LR at least crops out missing spots automatically. I also like that I could shoot these in raw in the LR mobile app and then stitch them together and have more options for editing.
So, all that said, I am not sure what kind of location you tried your panorama in, but I would make sure you use an area that isn't too cramped and gives a lot of area for overlap. Let me know if you have any other specific questions.