I am sure that there are some POIs out there that may care about this, but I haven't ever heard anyone say that they do. I have a BA and it never came up for me.
Now, if your program has both options and the POI is familiar with your program, I could see it being a good interview question as to why you didn't go for the BS. But really, I think undergraduate institutions sometimes overstate the importance of these degree types. That being said, if you have a choice and know you want to go for a PhD later, it would be dumb not to take the more rigorous coursework.