The difference is that while lotteries and casinos are out to take your money they're at least honest about it. If you win they'll pay out in real money. They're not rug pull scams.
The dishonesty lies in obfuscating the actual odds of winning, making the honesty about the payout a moot point as it's not particularly applicable for most entrants.
For it to be clear how unrealistic the odds are. They're not exactly broadcasting "you're 40 times more likely to be struck by lightning than to win the jackpot", instead their site screams "Millions Could Be Yours!". That is the dishonesty and obfuscation. Millions _could_ be yours, but they are very unlikely to be yours, in fact realistically approaching zero. While advance fee scams say "millions will definitely be yours", with the odds being absolutely zero. But neither are meaningful odds.
Though regardless, my original point wasn't about odds but about the lure and the appeal of both of these things: the potential for getting a lot of money for doing virtually nothing (other than spending a bit of money up front).
The problem is that no culture/philosophy has (yet?) even found a clean line.
Ex: How different must the fixed menu picture of the "Burger and Fries combo"--designed to manipulate me into feeling hunger--be from the real food before it's fraud? If I tell you "pink elephants", I have created text that placed an idea into your mind against your will, but is that an offense?
If it's not a picture of food cooked by a worker at the company, in the regular kitchen, with the normal ingredients then surely it's fraud (lying to get money)?
Market capitalism needs truth and transparency to have any chance of optimising delivery of goods/services. These should be preeminent goals of Western Capitalism.
At a certain point it falls to personal accountability. A would be lottery ticket buyer can get all that info in 30 seconds by googling "How likely am I win to win the lottery?" If they don't do that, that's on them.
Advance fee scams are different because 1) they are telling outright falsehoods and 2) they come cloaked in a broad variety of disguises, which means that a naive web search is not guaranteed to unveil the deception
IMHO, if you don't spend one afternoon out of 365 in the year researching what to do with your money and you lose money as a result, you can't claim victim status. It's analogous to being out of shape because you never go to the gym. Good results take effort. It's not someone else's fault if you never put in the effort. And the effort needed to learn how to make sound financial decisions is actually a lot less than the effort of going to the gym every day.
To draw another analogy, let's say you don't max out the pretax contributions on your 401k even though you have the means to do so. There are tens of millions of people in this situation right now, losing thousands of dollars in potential retirement savings each year. Are these people victims too? What is the difference between them and people who view lottery tickets as an investment vehicle? In both cases it's a financial loss due to lack of research.
In any case, I suspect that most people who buy lottery tickets are doing it for the entertainment value (the thrill of gambling), in which case dropping $20 on a lottery ticket every week isn't much different than dropping $20 on the movies. It's hard to to call them victims from that standpoint as well.
You made it look more prominent by linking directly to the tab that details the odds.
On mobile that tab isn't even visible when you load the page, you have to know that it's possible to scroll to the right in the tab bar. Otherwise what you see is the tag line "Imagine Winning $48 Million", details about when drawing happens, and a button that says "claim a prize" with an ecstatic man on a phone.
I will say that the government-sponsored lotteries tend to be less blatantly abusive than casinos, but I'm still very comfortable saying that they do actively work to inflate people's sense of the odds.