Some will probably leave, but then, they're dinosaurs anyway, and why would you want an investor who just doesn't get it?
And then what data do you show them to back up that grandiose proclamation?
But to answer your question - you don't show them data. You show them social proof. Show them the tools - GitHub, Slack, Google Docs, videoconferencing - and people using them, and the companies that have made it work, like GitHub, Automattic, Google, Cisco, etc. The whole point is to create an emotional reaction, not a rational one.
Another source of this might be Labor Ready - warm bodies to fill an office space. And for those with higher skill, maybe we could tap some Hollywood extras?
Right before the first dotbomb I went on a tour of LoudEye/Encoding.com which had lots of Hollywood clients. The place was in a gorgeous antique building, wrought iron railings, full rack sized silicon graphics multiprocessors, and all of the front desk, office staff were Beautiful People (tm) and very busy and serious. It looked like a set for what a futuristic tech company would dream of.
We need that as the face of distributed remote companies so that the old money can have a nice artifact to look at while everyone is at home on IRC.
It would be fantastic if that stopped being an important indicator.
Profits.
It could be that there are cheaper ways to signal the health of an organization, or that they're not cheap enough to outweigh the SF premium.
How on earth is this healthy? If your "company" continues to exist by sucking up investment money gained by doing a song-and-dance with a group of folks in an office, but never churns out a product, this is success? Good lord.