Engineering and dynamics (vibration) background here, and a full-on understanding of this system as its been in use for donkeys years and is known for problems, so bear with this short explanation...and I know there has been plenty of uneducated rambling on this elsewhere, but that is a problem with forums and incorrect info, sadly :|
The CDV is only in the system to prevent lash into the DMF if the clutch is released rapidly and/or without control. The CDV slows the fluid flow on clutch release via its restricting orifice, hence automatically reduces the lash in the system, gives a 100% repeatable clutch release rate and prevents accidental (or careless) damage to the DMF. Removing a CDV valve whilst being the 'manly' thing to do, is in effect putting your DMF at risk if you make an error with your clutch control. It has NO effect on clutch judder per se, only its apparent severity. Clutch judder is a result of a high and hot spots due to non-flatness and localised heating on the clutch plates. The hot spot comes from local heating friction during clutch engagement, and may be (for example instance) a slight inbuilt and within tolerance misalignment between plates on take-up (there is after all, a 360degree arc of take-up, so a potential 1 in 360 chance of matching high and hot spots at instant of drive take-up). The high and hot spot interaction results in a grab-release-grab-release of the DMF drive and friction plates, and this causes the DMF drive springs to oscillate at their undamped natural frequency (imagine fixing a rope at one end and flicking the other repeatedly and seeing the waves it sets up). That shakes the car to buggery as the drive is taken up and released in pulses..... The undamped oscillation then causes the springs to clatter their guides and housing and reduces the lifespan of the springs, and can crack the casing and/or flywheel itself...which is a right-off of the DMF. If you remove the CDV on a DMF with a minor issue, you may improve the engagement slightly as the plates will come together faster, and any fluctuations pass more quickly (basic dynamics) but still exist. That is masking, not fixing the fault.
Friend of mine works as a main dealer service manager. He's lost count of the number of DMF's that they get in with 'slight judders' and on opening the joint, bits of DMF fall out of the bell housing. I recently had in my hands a 9k-miles old DMF which had been run without a CDV. It was trashed. £1200 again please, sir, for the benefit of giving you back your drive. Leave the CDV in: BMW put it there for a bloody good reason. If the clutch judders, it has a DMF problem. Full stop.
From a personal POV, I would never buy any used car from any manufacturer where I thought the CDV may have been removed by a previous owner unless the DMF had been exchanged just prior to my purchase.