Both towns are served by the Matawan-Aberdeen Regional School District, which runs about 3,900 students from pre-K through twelfth grade. Everyone funnels into Matawan Regional High School in Aberdeen, the district's only high school.
The third-party ratings genuinely disagree here, and you should see both. Niche grades Matawan Regional a B+ and ranks it around #175 among New Jersey public high schools, and has graded the district as high as an A-minus and top ten in Monmouth County. GreatSchools is far more critical, rating the high school a 3 out of 10 and calling it below average for the state. Reported graduation rate runs around 86%.
Being straight with you: this is a solid, middle-of-the-road district, not a top-tier draw, and the ratings spread tells you it's a school you should walk yourself. If a top-ranked district is the first filter on your search, Holmdel, Marlboro, and Middletown rank higher, and I'll say so before you buy.
I don't grade schools for you... that's your family's call. What I'll do is pull the zoned schools for any specific address and the current third-party ratings on Niche, GreatSchools, and U.S. News, so you're deciding on real data instead of a feeling.