I feel like the only possible benefit that holds is if you live in an area or go to a school where tons of people apply to Drexel, and lots of them do it just because everyone else is doing it. The fact that your brother went there may help you make the case that you actually want to go to Drexel, and you're not just fishing for any acceptance you can get.
Disclaimer: I might be just hopeful because I am in a similar situation. My grandfather, both of my parents, and my only sibling all went to XYZ University for their undergrad, and this particular university has a medical school. I'm applying to that school, and it is my top choice. However, at the undergraduate school I go to (not XYZ University), a bunch of people apply to the XYZ medical school every year, and XYZ gives a ton of acceptance letters to students from my school every year. This sounds awesome, but the issue in practice is that all the students at my school know that XYZ gives lots of acceptances to students from my school, so a ton of people apply without any real interest, just fishing for any acceptance they can get. I am aware that any applicant from my school to XYZ medical school is automatically under suspicion of just going acceptance letter fishing without any real interest, so I know that any applicant from my school has to distinguish himself/herself as actually having an interest in the school. While I know secondaries are the place to do this, talk is cheap and anyone can mess around on a school's website for a few hours and find something to talk about. I'm hoping that the fact that all of my immediate family members and one of my grandparents are alumni will be a nice additional way for this school to understand that I'm actually interested and not just acceptance fishing.