To the Right Transistor in Digital Mode (Switch)
Slight change in Beta Value Courses very much Change in Collector Current And Vce Value.
To the Left Transistor in Analog Mode (Common Emitter Amplifier)
Any Changes in Beta Value has slight effect on Collector Current And Vce Value.
The Amplification Related to (RC/RE) not BETA value
Try to Change Beta Value In Each CASE And See The Effect.