I don't think it will either, Mike, it was a "Hail Mary" pass!
That said, in DOS days, you could sometimes pull this off because the system
created numerous temp files. Hence, even if you seemingly overwrote a file,
you might be able to find that temp file in DOS and using the old Undelete
function which no longer exists, you could find the original temp file
created before the save and depending upon how much you had used the system,
you could get a good part of the file albeit with some junk as well. Of
course, you had to use the old Exit to DOS function which no longer exists
either.
As near as I can tell, some of the more limited file recovery apps use a
similar technique. Now, if you are talking about file recovery services,
from what I gather, they can really drill down even if you've overwritten a
file. Remember, nothing is ever truly erased from a hard drive. When you
consider file eraser apps use something on the order of 32 rewrites to
overwrite files and the government uses something like 64, I'd say the
chances are pretty good of finding the original if someone wants to spend
the money for such a service.