That's a good observation. They're both brittle materials, but alumina is typically tougher than silicon carbide.
Roughly, and on average [1], armor-grade SiC has a fracture toughness of 2.5 (KIC -- MPa * m1/2), and armor-grade (99%+) alumina has a fracture toughness of roughly 3.5 to 4. If you were wondering, the zirconia ceramic they use in cutlery, like those cheap chef's knives, is around 6-7. Tungsten carbide, of AP bullet core fame, is around 12-15. The hardest and most brittle tool steels are around 20, and tough grades of steel, like certain maraging steel alloys, can easily reach around 150 MPa * m1/2. I think that there are experimental steel alloys at around 400.
So the gap between 2.5 and 3.5 might not seem like much -- but it is a roughly 40% difference in relative terms, and it sure looks like it makes a difference! Between this video and a few others, it's really starting to seem that alumina plates have significantly better multi-hit performance. Makes me wonder about zirconia for armor purposes.
[1] - The toughness of ceramic materials is hugely influenced by how they were processed, the quality of the raw materials involved, and their porosity.