I haven't noticed that any of my larger varieties like 'B52' or 'King Henry' have any trouble capturing prey.
Some really bad ones that come to mind though are 'Alien', 'Angelwings', 'Biohazard', 'Coquillage', 'Fondue', "Galaxy", "Hot Kiss", 'Master of Disaster', 'Microdent', "Monkey A$$", "Pacman", "Pom Pom", 'Red Fused Petiole', 'Short Teeth', "Tremor", 'Trichterfalle', 'Triton' and 'Umgekrempeit'. There are also many more with defective traps including a few completely trapless clones like "Dr. No Trap".
Why most of these are not culled immediately is beyond my reckoning.
Here here Johnny
I must admit that I do chuckle when I see Dr No Traps advertised for around 40€ and described as a must have when all you really need is standard type and a pair of scissors.