Just FYI, a bachelors in respiratory is about as much a "technical" degree as I am a strong, independent black woman. Granted, it's not a traditional science, but it is not a community college style program (which is what I would imagine you are implying by your use of "technical") any more than a bachelors in computer science would be. In fact, many of the BS RT programs out there include all (or at least most) of the prereqs for medical school as a requirement for admission to the didactic portion of the RT program. I know this because I used to work as an RT (and was considered a de facto clinical instructor) at a facility which had both a medical school and a BS RT program.
However, that being said, I would not pursue a bachelors in RT as a premed, because in the event of your not getting accepted to medical school you would likely be stuck as an RT. There is an alleged "shortage" of RTs and many hospitals are so desperate that even if you possess other clinical qualifications, they are hesitant to talk to you for any position outside of RT. I am cross-qualified as an echocardiographer, and was flown down to South Carolina for an interview allegedly for an echo job, but was ambushed by the director of HR and RT. The work of an RT is not terribly difficult, nor is it the most interesting, but it also lacks the upward and lateral mobility that nursing possesses. In other words, contrary to what most RTs will tell you, respiratory is a career only because once you get into it, it is very difficult to escape unless you get a graduate degree in a health related field or leave clinical practice behind completely.
EDIT: BTW, just FYI, I am in the process of transferring schools in part to go into a BS pathologist's assistant program, but I am currently an international business and chemistry major.