My first carbine instructor taught the pinch, which is completely doable with the stock charging handle. However, after charge/presscheck/unload/repeat at each run, my thumb and forefinger were hurting for a BCM med latch.
I got the BCM med latch which gave me much better control of the CH... letting me perform a press check instead of an accidental ejection.
The last carbine class, the instructor used the claw.
When i have the rifle slung, I keep the stock pretty short, and I do find the claw a little cumbersome trying to get hand up between my rifle and chest. So if I'm slung about to shoot, I'll typically use The Pinch. If i'm bench shooting, i may do either.