What you are essentially doing is "fly-specing" a stamp issue that was printed using the Giori Press. That press was in use primiarly in the 1960's and 1970's and is notorious for having produced minor color shifts in the printing process.
To the best of my knowledge, no catalog varieties were ever noted (except for the rare missing colors), and none are worth any premium over "perfect" specimens, and in all probability are likly worth less, as most would prefer better centered copies.
To illustrate, here are three used stamps of Scott #1690 from my stock book:
EXAMPLE #1: The printing is raised higher than normal with the "USA" right at the top of the printed image of the stamp. This image also shows the top of Franklin's head slightly off the stamp and at the bottom of the stamp you can see where the blue and brown printing from the map extends beyond the intended stamp image. The example is also very poorly centered with little margin on the left side.
EXAMPLE #2: The printing is more normal but still not perfect. "USA" is located a bit low within the image of the stamp, as is the top of Franklin's head. This stamp is also poorly centered with little margin on the left side.
EXAMPLE #3: This example is probably the best of the three stamps. "USA" is well located within the image of the stamp. The left to right centering is also corrected (however, the top to bottom centering is less than perfect).

As to your question about contemporaneous use of the stamp shown in your image, it would only be of concern to me if you were talking about 19th or early 20th century classic stamps that have a high catalog value. In the case of the Benjamin Franklin stamp shown, the stamp is very common and therefore commands nothing more than minimum catalog value in which case the cancellation date would have virtually no affect on the desirability of the stamp for a collection. Of course, given the fact that a VF, MNH variety of the stamp catalogs for a mere 5 cents more than the used copy, most collectors would probably strive to acquire the mint stamp and these used stamps would simply serve as "fillers" until a nice stamp specimen can be acquired.
Finally, if you're not aware of it already, this was a joint issue between the US and Canada, so there is a Canadian equivalent of the stamp also available.