I see your point, as I was thinking more in casino-like-type games. Sports gambling is similar to poker, then, and some people claim to make money consistently from horse races betting as well. To build wealth in those fields, you need patience and bankroll management, apart from making good predictions. Those characteristics can help you in investing, as I said before talking about poker. So, if we consider these fields, there is no big difference, I agree.
Investing generally carries lower risk and lower potential profits.
This is the only point I dont agree with. Investing in new fancy companies, in new fancy ICOs, in the forex market, opening a new business... there are countless high-risk investment options out there.