Hi, I'm the guy making these kits. Thanks for the great write-up! I'm relatively new to pinball but I'm an engineer who has been doing design for more than 35 years. This board design came out of my own experience restoring machines and being shocked at the cost to replace dead displays.
The ICs themselves are CMOS so they draw negligible current. The 7-segment LEDs draw 20 mA per segment when on. The Bally pinball machine design has multiplexed displays, i.e. only one digit per display is actually on at any instant in time. So if every digit is showing an '8' (all segments lit) the display should draw about 140 mA. I would figure about 145 mA worst case when accounting for all other loads on the board. If some segments or digits are not lit the current draw will drop proportionately. (e.g. 1 digit showing an '8' = 25 mA, 6 digits showing a '1' = 42 mA )
Absolute worst case: If all 5 displays are on and every digit is showing an '8' they could draw as much as 725 mA total.