It's a common misconception. But y'know it's not Legend of Link, It's Legend of Zelda. Zelda is the Princess and Link is the warrior. (I've said this so many times to everyone I know. >.<)
Yes, spoken completely factually correctly, aside from one fatal mistake. Let's go back to The Legend of Zelda Majora's Mask (The one where, supposedly, is completely just a dream). It's titled "The Legend of -Zelda-" correct? Yes, but in Majora's Mask, Zelda only appears once in the game, and that's when Link has a flashback to getting the Ocarina of Time from Zelda when Link is leaving Hyrule for his next adventure.
Is a Beary Cool Nice person that I couldn't *BEAR* to see suffer *Bear with me.* Hes *Beary* admirable. I would even ask him out for lunch. Guess what we're having. BLUE BEARY's