I had Hyperlites and the P3 lights and I think the P3 lights are better. However, my experience with the Hyperlites is several years old so they may have improved them. The P3 lights can be programmed to to legal in CA which has particular requirements on flashing brake lights. I think the high frequency flickering when the brakes are not applied also increase your conspicuity.
It isn't the conditions its the decisions
Don't bring a motorcycle to a car fight