No number is better than a fake number.
Even though having a phone number on your website makes it
a little more credible but if its non-existing then its useless.
It does not matter how you spin it - you reduced customer support to save costs.
That's fine but its annoying pretending otherwise. Maybe offer different support packages, a paid channel where someone actually calls and spends time. Rackspace is an interesting model in this area - you pay for support, through higher costs or literally.
But if its hard shooting, downloading, editing, uploading and linking to video, well, it is hard. Tell folks that.
What ever you do however, don't believe the $4m support call.