I'd add that it really matters who know about your work. If a lot of people know you do good work, but they all have very similar skills sets, you get a lot less value than if only a few people with very different skill sets know about you. In that case, you get to become "their guy for X", and that generates a lot of opportunities.
In this case, you also get the benefit that both of you can get credit for the same work. Everyone will know them as "the guy who knows people who get things done" (i.e., good manager/leader) and you'll get credit as a great individual contributer. There's no competition for credit here.
It gets even better if the few people who know you as "their guy for X" are social supernodes--while we're all only 6 degrees of separation from each other, it's actually because a small percentage of us know tons of people, while the average is much less. If you become the "guy for X" for one of these supernodes, you're basically the "guy for X" for anyone who would ask them "hey, do you know a guy for X?"
In my career, I've had two of those types of people know me and my work--and between the two of them, they have generated almost every opportunity I've had in the past 10 years.
I could spend 50% of my time networking, and I doubt it would generate as much value as adding just one more social supernode that knows my work.