Dude, stop with the "cheap LEDs" shit. You will undoubtedly regret cheap LEDs. Get a $3 incandescent bulb and you won't have to worry about color.
Could be shaded bright sunlight, too. Like at noon when the sun is over the building and not shining directly into the window, and all the indoor light is bounce from the atmosphere.
Why would you ever use LEDs if you're trying to save money? Incandescent or halogen lamps are fine and you don't have to worry about color rendition.
Most "real operators" use whatever they can source easily.
Thanks for a rare and accurate assessment of the importance of GPUs in video editing.
I wouldn't shoot anything with variable ND if you want your people to look like people. The polarizer isn't worth the convenience.