If your target is not research, dont go behind BSc, instead pursue BTech in Biotechnology, with wider career options in the Industry, Research as well as Academia. Nowadays, irrespective of your Engineering Branch you may develop interest in any field of Interest. Second after BTech, you may directly go for a PhD in your relevant field of Interest unlike BSc Biochemistry, where youll need a MSc. Secondly a broader branch is always good in Undergraduation and helps you explore the different domains of interest, hence BioTechnology will give you a Good exposure.

Ofcourse, incase you plan a Career in Teaching or maybe pursue Government Service Examinations lile UPSC CSE, SSC CGL, State PCS, SBI PO, RBI Grade B, Railways RRB and many others, in that case you may prefer BSc, as after Graduation youll save a year and may start preparation early.

Secondly, Of course if your getting BSc Biochemistry in some of the best Central Universities, again you may prefer that.