They've long since fixed the 2004 issues with IE, but Java's security issues have been known for a year and it keeps getting worse http://news.techworld.com/security/3432840/attackers-exploit-yet-another-java-flaw/
So yes I think you're spreading false rumors, and 2004 is ancient history. There are other issues today and there will be new ones discovered tomorrow, whether IE or any other program.
You're welcome to your preferences, as there are reasons to like various browsers and other programs.... I really have no issue with people making different choices. When they make their own decisions and screw up and need help it helps justify the basis of my business, which is primarily to help them avoid problems. We try to proactively manage systems in a way that avoids problems for users, and support over 1500 devices with a very small technical staff. You can't do that well if there are no standards or security or proactive maintenance. We don't chase ambulances but we do handle emergencies. (BTW I have never promoted my business here, and am not starting now).
Regardless of which choices people make, my best advice to people who manage their own personal systems is:
1) Backups. (Cloud sync is not backup. You need to keep multiple versions)
2) Regular security updates (beware of extra payloads such as browser plugins that come with updates and downloads).
3) Encrypt and secure. (Don't use the same passwords everywhere. Your digital footprint and your data is a gateway to identity theft and should be kept private.
4) Mobile devices are computers too and contain private information. If you use a smart phone or tablet, secure it with reasonably complex password (at least 4 or 5 digits, not your birthday or phone # or zip code etc.) and set it so it self-wipes after too many failed attempts.)
5) One of the best ways to restrict drive-by downloads on a full computer is to create a separate admin account you use for installing software and changing settings, then demote the security of your own normal user account so it doesn't have rights to install software or plugins. That insures such actions will always be deliberate, and not just a rogue script or errant click.