The first "damper" is more of an expansion chamber, that over time and somewhat aggressive clutch pedal activation (and likely, accelerated by cold fluid) will cause the baffle plate to fracture (Surley). Removing it will lessen the somewhat vague clutch/pedal feel, which we all agree, is a good thing.
Removing the spring loaded damper/control valve assembly from the slave cylinder will eliminate the restricting orifices. This allows the clutch fluid to directly activate the throwout bearing during engagement/disengagement for a unrestricted action. By removing it, you will definitely notice the difference in colder (fluid) temps.
These devices were installed to lessen clutch induced shock on the driveline. As installed they do what they were intended to do. However, at the cost of vague/mushy pedal feel and slower disengagement of the clutch disc which causes unnecessary wear.