As a telecine operator who graded live to air fab shows like Lost in Space and Daniel Boone in the mid to late 70’s, I can tell you that the clip you showed would have been tech rejected in those days.
A common problem with film in those days were magenta and cyan casts that were difficult to grade out. Colors were also a bit more washed out and pastel looking than todays hard reds & greens. Slightly milky blacks were common.
If you are trying to do this without paying for any plugins, then I suggest you get familiar with Color and start playing with hue controls and luma curves. Also in Color, you can play with saturation in low, middle & highlights separately which will help.
Please go easy on dirty gates, scratches and weave if you do get any of the film look plugins.