You’re mostly on the right track, and I like how you’re thinking critically about risk:reward vs. win rate.
Now, where it gets interesting is your last question: When does a profitable system become an edge?
A profitable system just means over time you’re making more than you’re losing. But an edge implies consistency, repeatability.
A profitable system becomes an edge when you can clearly define the logic behind why it should work ,repeat the setup over many trades with similar conditions,and stay profitable across changing market conditions.