I've built a number of sites now from scratch, on to successful, constant streams of traffic. Those however were started a number of years ago when the rules where different, before social.
This question of getting them to see things from the site -- I have been privately debating when to do it. Is it not true that you should, not repeatedly Tweet the same site link, or too often? If so, you need to decide on the optimal time. At this point I can't tell where the two graphs intersect.
These are fairly targeted followers, but there are business followers as well.
When I come across exceptional content of others, I'm happy to point it out either with a site link to them or RT. The content I offer is unique, but so far I see few others acting likewise. Not to say that they won't.
You both of course are right about content.