Well, I think you have to think about the process.
1. to make (beer, ale, etc.) by steeping, boiling, and fermenting malt and hops.
2. to make or prepare (a beverage, as tea) by mixing, steeping, soaking, or boiling a solid in water.
3. to concoct, mix, or cook (a beverage or food, esp. one containing unmeasured or unusual ingredients): She brewed a pot of soup from the leftovers.
4. to contrive, plan, or bring about: to brew mischief.
When I make wine, usually there is no boiling or even steeping. It's a cold process, usually but there are exceptions. To me, brew connotes cooking.