I would have to disagree with you. Biochem was my undergrad major, and I was faced with the same decision between chem and biochem. I must say that biochem as a major is very demanding in the amount of upper-level courses that has to be done. You will be taking maybe only 2 or 3 chem classes less than a chem major along with a lot of bio classes.
While this may differ with schools, this was my experience at my school and there were a number of people in my year who switched their major back to chem, as biochem was too grueling.
However i agree that biochem as a major is probably the best fit for any student going into pharmacy or health sciences.And i also believe that adcoms think the same way, eventhough they say they view the majors equally. But I would go with what best fits your abilities and what classes you enjoy the most. As in the end your grades probably matter more than all of that, who knows!
Good luck, and study hard.