Only one of those carbs is actually a CV carb... the one with the vacuum operated slide. The mechanical slide will open quicker but it will not automatically adjust for changes in altitude, air density (temp changes), etc. the way a CV carb does.
-Craig
that's a little misleading, a CV doesn't actually "adjust" for anything. The vacuum-operated nature of a CV carb will respond better to those changes but I think the difference is negligible.
Mechanical slides, like roundslides and especially flatslides are better performers than CV carbs for a few reasons. As already mentioned they open quicker which equals immediate throttle response. The only problem with that is when you whack open a huge carb the vacuum drops at the venturi and the engine goes lean due to not being able to suck in enough fuel. Injector pumps solved that problem and it's pretty much a non-issue on pumper carbs.
Also, with a flatslide at full throttle the slide goes up totally out of the intake path so you get the full bore unobstructed vs a CV carb will always have the butterfly in the middle of the throat. In other words, a flatslide of the same diameter will always flow more than a CV carb.
I have a pair of Mikuni HSR 42mm flatslides on my bonnie. They have accel pumps and run AWESOME! They replaced the 36mm POS CV carbs that came stock on the bike and I picked up a ton of power.
No matter what bike (big HD, small Brit bike, small Jap bike, etc), I'd rather have flatslides (or even roundslides) than CV carbs anyday.