Sure, if the argument is made from the date of extant texts. Most arguments come from internal evidence such as wording, use of certain words, references or allusions to historical events, and so forth. The only way the dates of the manuscripts matter is for arguments like the dating of John, which has to be fairly early in the 2nd century or (more likely) late in the 1st because we have a scrap of John from ~125-150 CE far, far from the origins of the Jesus tradition. But this is a boundary argument which keeps dates very few considered likely (e.g., late 2nd century or early 3rd) off the table. It's not all that significant, and it's for the latest gospel.
If you know of arguments being made about Paul, Mark, Luke, etc., based on the dates of papyri, I'd be curious to know what these are.