Well if you play the lottery then obviously you're bad with money to start with but just happened to get lucky so not surprising.
You can maybe make that generalization to people who play the lottery daily or maybe weekly.
When Powerball hits a couple hundred million, sure I'll throw in $20. Same do millions of others who can manage their money just fine.
Personally, if I won the lottery, I'd move away and disappear off the radar for a while. During that time I'd probably invest it all and go back to school and get a few degrees in the mean time. After then I'd move back, start a business, and hope nobody cares anymore.