The 22 cm screw is going to reach good quality ice that the 13 cm may not.
Truth. 13's are great until the only good ice you can get a screw into has an air pocket three inches in. Then your stubby just kind spins and you wonder if it'll even hold body weight much less a big ride if you pump.
For those who quote Will Gadd, don't forget to quote this as well:
Dig hard to get to good ice for screws.
Sure the 13cm screw has the same thread length as the 16cm, 19cm or even the 22cm, but I don't have an adze on either pair of my ice tools & find a little more comfort with longer screws that can dig deeper into more solid ice. Then again what do I know about ice climbing, ya'all crazy.
I use bd express as well, never had an issue. I've got a decent selection of sizes but most in the bag are 13s, a few 10s, a couple of 17s (old school) and a couple of 19s. One 22 for v-threads. Generally, if the ice is fat my strategy is longer at the bottom with screamers and shorter at the top with draws etc. Of course this is variable given the conditions, but that is my normal approach. I use the screamers low due to potentially higher fall forces than high on the pitch.