Could you dumb this down a bit (a lot) for dimmer readers, like myself? The way I am understanding the problem you are getting at is something like:
> The way person_1 in 1850 wrote a lowercase letter "l" will look consistently like a lowercase letter "l" throughout a document.
> The way person_2 in 1550 wrote a lowercase letter "l" may look more like an uppercase "K" in some parts, and more of a lowercase "l" in others, and the number "0" in other areas, depending on the context of the sentence within that document.
I don't get why you would need to see the entire document in order to gauge some of the details of those things. Does it have something to do with how language has changed over the centuries, or is it something more obvious that we can relate to fairly easily today? From my naive position, I feel like if I see a bunch of letters in modern English (assuming they are legible) I know what they are and what they mean, even if I just see them as individual characters. My assumption is that you are saying that there is something deeper in terms of linguistic context / linguistic evolution that I'm not aware of. What is that..."X factor"?
I will say, if nothing else, I can understand certain physical considerations. For example:
A person who is right-handed, and is writing on the right edge of a page may start to slant, because of the physical issue of the paper being high, and the hand losing its grip. By comparison, someone who is left-handed might have very smudged letters because their hand is naturally going to press against fresh ink, or alternatively, have very "light" because they are hovering their hand over the paper while the ink dries.
In those sorts of physical considerations, I can understand why it would matter to be able to see the entire page, because the manner in which they write could change depending on where they were in the page...but wouldn't the individual characters still look approximately the same? That's the bit I'm not understanding.