Unless you have need of an application that requires Java it's probably not that big a deal for most folk. Just make sure that in whatever browser you use you have disabled or disallowed Java. Java and Javascript are not the same thing. Much of the web uses javascript but if you're leary about Javascript try disabling that too and see if it affects your web experience more than you can tolerate.
SkyDemon Light doesn't use Java but does use Javascript. Google Chrome's developer tools shows that.