A current transformer's output is a
current which is proportional to the input current
as long as the load impedance is low enough.
It is intended to go into a current measuring device, which must be low impedance.
If you want to get an output
voltage which is proportional to the input current, you can use a
Hall Effect device or connect an
op amp and shunt to the current source.
One reason to use a shorting switch at a CT is that an open-circuited CT will produce a messy voltage waveform which is determined largely by the saturation characteristics of the core and it can be dangerously high if the core does not saturate easily.