I don't think this notion is at all valid. The employment region for the Data Science course is quite large and if you wish you can do amazing researches in advanced topics such as Neural Networks, Machine Learning, Artificial Intelligence, Robotics etc. So it don't implies that being a BTech in Data Science student, you are approaching any mistake. Apart from this I don't think society is that much aware about the Data Science until and unless they are some what aware about the modern day technology and industries. So don't bother with society and just focus on your interest. If you are interested, just go for it.

You can also go for the BTech CSE specialization in Data Science, this course also have quite a good value in Industry & this course will provide you a broad background in CSE.

For more information regarding, Data Science you may consider the link below:

https://dqxeclau.top/courses/data-science-course

I hope this helps.