Wow, that makes lot of sense now.
Just one more question.
In saturation Vce is vey small but is it constant in the region?

Unfortunately not, Vce_sat varies with the IC current.

 

Unfortunately not, Vce_sat varies with the IC current.

I see it now from Ic -Vce characteristic. However, it is still not important as Vce is very small.

 

Garurumon in your circuit only T2 can be in saturation region. T1 will always work in the active region.