Flow is not an issue as long as the winter rating is appropriate for the starting temperature. In the summer an oil with a 20W winter rating is entirely appropriate, at that temperature the viscosity is going to be more similar to another winter rating than it will be different. The only guaranteed difference for a 5W rated oil is somewhat lower than about -30 and for a 0W it is below -35.
Besides it's not about flow here it is about pumpability. In the summer a 20W rated oil will pump, and if it pumps it will flow. On here sometimes "flow" is a phantom monster that has no relation to reality.
Go by the winter rating not by an imaginary worry over cold start protection. If you're not below freezing it won't make a whit of difference in protection.