M
Cell balancing is used for batteries configured in parallel and once capacitors are charged, they don't dissipate heat (unlike a lead acid battery). That's the concept of balancing, because when particular battery chemistries gets hot they damage and lose their capacity.
Connecting any type of voltage sources in series is always going to have it's limitations.
Nothing wrong with exposed wires when prototyping

. This only becomes a problem when you give the prototype to an end user to use.
The device could be made safer by having two modes of operation: charging and discharging. In charging mode (using a charging port), the designer could implement a microcontroller that measures voltages across the caps. If any cap is less than 4 time constants, a relay inserts a constant current source (ie: resistor) into the circuit to prevent over voltage condition. When fully charged, the micro detects lower than expected voltages across any of the caps, the device enters fault mode and is disabled (relay isolated). Discharging is done through the battery interface (thick cabling and clamps), a constant current source is put in series with the caps to prevent over current (exceeding cabling, clamps, capacitor Absolute Max Ratings). A power diode is put in series with the battery interface to prevent the boaster being charged via the battery adaptor. For Temperature: an alarm goes off if temperature of device exceeds say 70% of the maximum rating. At the same time, a bleeder resistor slowly discharges the caps. At 100%, device enters fault mode, and is disabled (relay isolated).
As you said at the start Macro, nothing beats a good old lead acid battery. They are proven, robust, and fail safe. You don't need complicated electronics to manage them.