ATMega I/O maximum current
Neither. First, inputs don't draw current. Whether you're sourcing current or draining it, it will always be an output pin.

The 200 mA rule is probably determined by the bonding wires for the Vcc and ground pins on the die. That means that all outputs which are sourcing current shouldn't source more than 200 mA combined, as this current will have to enter the device through the Vcc pin.
Likewise all outputs sinking current shouldn't sink more than 200 mA combined, as this current will drain through the ground pin.