Not at all. Everyday traffic usually consists of 6 local trains (3 pairs, Yeysk <-> Starominskaya), 1-4 freight trains and additional 2 passenger trains (1 pair, Moscow <-> Yeysk) in summer.
Yes, this line's quite interesting. It's about 66 km long and connects Starominskaya station on the main line with Yeysk seaport. Despite the line is short, it takes 2 hours to reach from one end to other. And of course its major drawback is that you can wait the train for hours and hours here and get nothing