As a test for color, I shot Fuji Superia 400 xtra. I liked what I saw with the exception skin tones were pretty red.
While it is true that each film type ones have certain biases, the only reasons I can think of for Superia 400 to give skin too red a look are 1-the light on the subject, 2-the choices the person printing made.
I use Superia a lot and it can be color balanced really nicely.
#1 is a real problem for any film when there is mixed lighting in the scene or if there is an underexposure of one of the color layers.
When we look at a scene our big brains to a large extent can "fix" this in real time and we perceive normal colors even when they aren't. The film though is recording the real color of each subject in the scene under it's own lighting.
The color balance of the scene may also fool the meter/photographer. Color film is essentially a 3 or 4 layer B&W film where each layer is sensitive to a different color and has different color couplers to create the dyes.
Most meters simply don't measure and display exposure settings for red, green, and blue separately; they simply measure the aggregate. There is actually a certain amount of exposure needed for each layer and each subject on that layer to achieve "normal balance".
A color imbalance comes when there is too much or too little of a certain color on a subject in the scene, this is one reason that many C-41 shooters lean toward a bit more exposure and avoid underexposure religiously but its not a perfect fix because each of the various subjects in a mixed lighting situation needs a specific fix it's color in the print. Global color corrections simply can't fix them all. I find that many times that color balance issues are actually caused by competing priorities for the print. When you fix the faces something else may look wrong or in your example the rest looks right and the faces are too red.
#2 is more likely the issue you face given the normal latitude negative films.
For example printing slightly dark can make colors look richer, some slide shooters lean gently toward underexposure at the camera to get this effect, with negative film though this is a placement choice in the printing process; camera exposure can vary significantly without issue. When the choice is made to print the background a bit dark from a negative for effect that choice will also drag the print placement of faces down too and that can easily make them look too red. That problem can be fixed with a little dodging.
The other thing that I've found is that careful color balancing of any film is important. Small differences can make the whole thing look a bit off. Patience and a kit like this
http://www.bhphotovideo.com/c/product/287849-REG/LEE_Filters_VK3_3_Density_Color_Print.html can help.