Having read some threads on another English learners site, I noticed that there was a disagreement as to whether "I wish I won the lottery" is correct or not. Some mention it is perfectly normal and standard (US), while others suggest:
I wish I could win the lottery.
It is not intended to refer to a past, one-off event (so no "had won"), rather than a present wish with a very look likelihood of happening. To me, "I wish I won the lottery" sounds like if the person saying that implies "I do not win the lottery", which sounds a bit weird as a habitual action.
Also, how would you (and why) say this naturally, using "wish"?