You may have gotten away with it this time, but as a general rule it is not a good idea to click on links that offer to install things. If I wanted Java (but I don't) I would not click on a link any website offered but go directly to the developer website and download it directly from there. Many, many instances of malware and malicious software installations come from clicking on links that may or may not take you to the real site.Yes, you were right about what happened after "more info" was clicked. By clicking it, I was taken to the next screen (see attached) to install the latest Java 8 update 25. I did the install successfully. But the message asking me to update to the latest Java kept popping up as soon as I started up the computer with no apps running at all.
Sound advice that warrants one small addition: Java 6 is end of life'd which means that it no longer receives security updates from Oracle. Sticking with Java 6 exclusive versions is a bad call if newer supported versions work.The solution, for me, has been to either update the app in question to the latest version, or to contact the developer to see when a Java 8-compatible version will be available, or go give up and find an alternative if there is obviously no path to an update.