Now you're reeeeally splitting hairs! From a reasonable distance most people can't distinguish 720p from 1080p on a good panel...now you're concerned about "i" or "p"? I wouldn't give it too much thought. If it's pixel count you're concerned about, they're the same...it's just the way the processing displays the picture on screen.
"i" or interlaced panels de-interlace the pixels odds, then evens ie. "lines" 1,3,5,7,9 and so on are displayed first, followed by the evens...2,4,6,8 and so on. Sounds choppy right? Don't worry about it...it does this every 60th of a second!! Unless you have the vision of a bald eagle, you won't be missing anything!!
"p" or progressive panels de-interlace in order, 1,2,3,4,5,6,7 and so on...resulting in a smoother picture (again every 60th of a second)