The programs available to high schoolers at both options are the same. There are honors, AP and this:

http://www.k12.wa.us/SecondaryEducation/CareerCollegeReadiness/RunningStart.aspx

I think the difference is going to be that in the high achieving district there will be a greater percentage of students working to get into top universities. There will parent support for challenging options. While it isn't a "everyone is gifted" mentality, the message is that almost every student in the district is capable of high achievement with hard work.

The flip side being that option B is a larger district that seems to identify gifted kids early and group them together. So a gifted kid could have roughly the same classmates from 2-9. Presumably they would make some friends during that time with whom they could navigate the high school options.