The AK2i isn't in the list, the list is for the AK 2.1, which is an earlier product.
The 2i did have some 3DS support, but stopped being able to be updated. The DSi has been getting updates as well, she just hasn't been updating it.
I went online and saw that the last update to the DSi was in Dec. 2012 and the last update to AK2i was for the OS version before that, then support stopped. The best flash cart to get now if one has a DSi and 3DS is the R4 right since support is active and ongoing, am I right?