Here’s a comparison to clips from the 1981 Making Of Raiders documentary. Clearly the red cast is not there. And it actually looks a bit cooler than the LPP. Less contrast and saturation have some effect on that perception. This is really evident when you compare to the wowow and blu, both of which are almost absurdly oversaturated. The blu also lacks contrast.
35mm
1981 Making Of
35mm
1981 Making Of
Wowow
Blu