Biochem, when offered as an undergrad program, is offered through the biology department and has a number of standard biology department requirements that would be elective at best for chemistry undergrads. Biochem majors also take orgo following gen chem, just like chemistry majors.
I don’t know what “touchy-feely” means in this context, but “chem except you take orgo almost immediately” does not match with my experience at all.