"However, any time someone does that, that's a part of the process that isn't taking place on JobSpice."
This is the real reason not to offer Word export. They can try to convince HR departments to use JobSpice for their resume filtering and searching needs, instead of just a place to download resumes into their internal systems and never returning to use other services.
A noble goal, but it seems very unlikely. Shifting Fortune 1000 companies or large recruiting firms to use a whole new system would be an amazingly unlikely and long-time framed change. Best of luck if that's your goal though, it would be an improvement.
Until then though, lack of Word export is a liability for people who build their resumes on your site.
This is the real reason not to offer Word export. They can try to convince HR departments to use JobSpice for their resume filtering and searching needs, instead of just a place to download resumes into their internal systems and never returning to use other services.