your grow light already has spikes in the red and blue wavelength ranges, despite it being white light -- aslo some 660nm reds, i'd assume.. some sort of red diode is mixed in.
adding more is fine.. probably won't make a difference in any way that your eyes can discern. is there a measurable difference? Maybe.. depends on context a bit too.
This will increase the DLI, so you may need to adjust height or dimmer so as not to give too much light, if you were already maxing out DLI. more photons in par/epar will raise your DLI on top of what the fc6500 provided.
So, just keep an eye out for light stress.. make sure your node spacing on new growth is what you expect to see and adjust based on that.