The categories answer different questions: emergency alert buttons send a manual request for help when a user presses a wearable or fixed button, relying on reach, deliberate activation, radio or cellular connection, response-center routing, location information, battery, and an agreed emergency plan; baby breathing monitors estimate infant movement or respiratory patterns and issue alerts.
The central contrast involves different mechanisms. For emergency alert buttons, examine manual activation and coverage area; for baby breathing monitors, examine intended use and signal artifact. Only then do added features help, because the use case is specific.