The Anker PowerCore III Sense 20K has a higher rated power of 20W (instead of 15W) and is probably the newer model. If you use the USB-C port, the charging process is faster.
I own an (old?) Anker PowerCore III and am happy with it.
This power bank does not have a passthrough function. The Raspberry Pi can probably be charged 2-4 times with a full charge. The powerbank does not switch off, however, and is always on as long as it is supplying power.