Maybe. Or perhaps they'll just scrape it - or better still - put something like it but orginal enough to pass muster on their site. I have clients in competitive industries who will NEVER link to a potential competitor, no matter how good their site. If they see something they like on another site they'll get me to do something similar on theirs.
Burger King restaurants don't have signs telling you where the nearest MacDonalds is. They're too busy selling their own burgers.
"If you build it, they will come" is a good philosophy and a good start to any website. But, just like the real world, you need to put yourself about a bit too to get interest going and keep it going. That's what links represent.