I haven’t had this issue with any of the hybrids I’ve driven with CVTs (a Toyota Camry and a Ford Escape). I hear it’s an issue on the Smart Fortwo, but I don’t think it has a CVT.
Having said that, I’ve never subscribed to the idea that being able to accelerate quickly is a safety issue. I think if you have rely on acceleration to avoid a collision, you’ve made an avoidable error, perhaps mistakenly, to put yourself in danger in the first place. A typical example would be someone who doesn’t take advantage of the acceleration lane when merging into traffic. Another example is when someone pulls out into an intersection without being able to see in all directions. Having extra power might help mitigate these situations, but these situations could also have been mitigated by using good judgment.
My 1998 Honda Civic DX has about the lowest power-to-weight ratio you can find on American roads, but in the 257,000 miles I’ve driven the car, I’ve managed to not collide with another vehicle, because instead of utilizing a high power-to-weight ratio to mitigate dangerous situations, I utilize my brain to help me avoid getting into dangerous situations in the first place. It’s not as fun as accelerating quickly, but it keeps me safe.
If I want a vehicle that accelerates quickly, I’m happy to admit it’s because it makes driving/riding fun. I don’t need to come up with other reasons.