In PS 2025 (26.9), running under macOS 15.6 when I choose the Selection Brush Tool and then look at the status bar popup for "current tool", it says that my current tool is the "Brush". If I choose any of the other tools in the same toolset as the Selection Brush Tool (e.g., Lasso Tool, Polygonal Lasso Tool, and Magnetic Lasso Tool), the status bar popup for "current tool" shows that my current tool is the Lasso, Polygonal Lasso, or Magnetic Lasso--the way it should.
When I have the Selection Brush tool active, the status bar popup should say "Selection Brush" (not just "Brush").