The test for me is to hold the lens in front of a sheet of white paper and compare the color as seen through the lens against that seen alongside. If they match, you're seeing the coatings. If not, your lens needs a sun bath.

The Super Takumar and SMC Takumar lenses do, however, both have a brownish/yellow coating rather than the blue, green, or pink coatings we're more familiar with.