Generally speaking, both TI and TII phytochromes do better from 450 to 800nm. However, this is not really what matters, IMO. The issue is will "more cause more?" Here you have to get anecdotal... and people with lights that have a good amount of this spectrum do not really grow algae much better than people who do not have as much... both can be troublesome (or fine) based on other factors.
Yes, algae will grow with red... but will a lot of red make it grow better? It does not seem like it when you observe many, many tanks and systems. If so, people never would have used 6500k and 10k MH or grow stuff under natural sunlight.
If you are running any kind of white light, then you have enough red to grow algae. If you are running anything above 425nm and certainly 450nm, then you still have enough light to grow algae. If you have algae issues and also keep coral, then look to other places than your lighting, IMO.