Not true. Actually, the virus wasn't programmed to cause any damage on April 1st. It was merely programmed to "phone home" for an update. The old version of conficker queried 250 web domains for updates, which was possible for security experts to get under control. The new version that came around a few days ago can grab updates from a list of 50,000 domains in all--making the version we're dealing with now a much bigger problem.
All we can really do now is wait and see what the programmers want to actually do with all those computers now under their control. Of course, if you are up-to-date, then you are safe. Of course, if you are up-to-date, then you are safe.