hypersweeper, I understand your question better now. There are some people who really are cheats. They aren't entering their other family members: they invent multiple identities in order to repeatedly enter for themselves. That's the group that your quoted language is aimed at.
Since you were entering ONCE per day, or whatever, for each SEPARATE person, those were all valid entries and it makes sense that you would have won for some of them. Yes, you should STILL be able to submit those entries.
But, because of the article that was just reposted above, a lot of us became afraid to enter anyone else from the same computer or even someone else from another computer who lived at the same address. The screening measures raised anxieties that ePrize might wind up accidentally screening out a lot of honest people.
I did win a couple of little ePrize sweeps after that, plus I've never been someone who wins a steady stream of little things, so I guess all is well for me, but a lot of other people noticed a stop in wins from ePrize sweeps at that point. It was very depressing for them to have put in all that hard honest work and not know if they were being permanently systematically eliminated for having entered a spouse or child in some long-ago sweeps that allowed it. Or it could have been the normal lulls that everyone experiences at times. It was upsetting not to know which was the case. The fact that the lull hit so many sweepers at once made people fear they had been blackballed by ePrize. I guess we'll never know for sure.
Best 2009 win: 47inch LCD 1080p HDTV including a TV stand, Nintendo Wii and two games!