OK I'll have a go at convincing you. What do you want as a publisher? Presumably you want as many as people as possible to read what you are publishing and to do that, you need to make it interesting or useful, preferably both. Suppose you are the publisher of "Gardener's Monthly" and as well as all your great articles, you've accumulated over time a heap of useful data about which plants grow well in different climates or soil types, how big they get, what colour the flowers are, what diseases they are susceptible to etc (I don't know much about gardening, so my example will probably not be very realistic!)
This enables you to provide all kinds of useful stuff that your readers want to know. Maybe Fred thinks he fancies planting a shrub in the corner of his garden, but he doesn't know what kind to get. He's got a small garden so he wants one that won't get bigger than 3 feet tall and he likes purple flowers. You have all the information he needs, so how do you provide it to him, without him having to read through all the back issues one by one?
Of course Fred isn't going to crank up curl and start dereferencing your URIs. Someone has to take this data and present it in a human friendly way. Maybe that's you as the owner of this great shrubbery database, maybe it's a plant retailer who decides to aggregate data from multiple sites. But someone can build some kind of browsing or search interface that helps Fred find his answer. Once he's narrowed his choice down to a rhododendron or an azalea, he can follow the links (rdf:seeAlso or whatever) back to regular articles on your site to find out more detailed information (even if ShrubSearch is operated by someone else).
So you get to be known as the best source of data in your domain, you get lots of readers, you make millions in advertising from the seed and fertiliser companies. Job done.
There are examples of companies making this work in practice with 'regular' data - for example IMDB. If I want to know something about a movie or an actor, I usually go straight to imdb.com, rather than to google or wikipedia. The advantage of doing this with linked data is that you don't necessarily have to build the user interface to the data yourself to get the benefits (though it might be a good idea to do that) - your data might be used in all sorts of unexpected ways, and by appropriate links and 'owning' the URIs for key things in your field, you still draw in readers. And you can merge your own data with other people's - you can pull in data from the National Plant Disease Research Centre (made up) or whatever to provide a better service to your readers.
There are lots of things that publishers can do on the web that they couldn't do on paper - the successful publishers of the future will be the ones that recognise and exploit the new possibilities.
Let me know if that has helped persuade you!
Bill