is this a trick question?
you asked "Would you cut a corner that you know won't really matter in the end?"
if it doesn't matter at all in the end then why consider doing it at all? unless of course it makes the client happy, which is important too.
If it matters a bit in the end then its not really a product vs process question because both are affected. Remeber what george lucas (i think it was) said about films, something like:
"All great artists never finish their work, they merely abandon it"