The short answer: it depends.
Scrubber material contains 3 chemicals. The first is your accelerator. The accelerator can remove carbon dioxide fast, effectively, and it does not require heat to get started. Here is the catch: the accelerator is expensive and corrosive. That's why there is only a small amount of it. Typically, the accelerator is LiOH. When you start pre-breathing your unit, the accelerator kicks in first.
The second is you diesel engine. It can remove CO2 quite well but requires heat. The accelerator creates the heat and then the diesel engine kicks in. Good thing - this engine is quite cheap. It makes up most of the scrubber volume. Sodalime or Ca(OH)2 is your diesel engine. The chemical reaction produces heat, so at some point the engine is self-sustaining.
The third chemical is a binding agent - the duct tape.
In warm temperature, the diesel engine becomes effective quickly. In cold water, the accelerator has to warm up the environment quite well before the diesel engine can work effectively. As cold water removes heat from the scrubber cassettes, the conditions are less ideal for effective CO2 removal. Therefore, when diving cold water you must do two things: prebreathe well and cut your dive time. Prebreathing ensures that the accelerator kicks in and warms up sorb. Reduced dive time ensures that you're not diving with ineffective scrubber.