Thank you for sending us clear information.
The point you might be misunderstanding is the recognition of width which include designed area and i-mark like your old design you illustrated below, therefore, we need the die line to understand actual width and the place of i-mark.
For your information, usually we make a proof with +3mm of bleed area from cutting area, so designed area will be 93.5mm x 156.5mm except i-mark.