Breaker and panel ratings will allow for the (former) 240 circuits to be fed by 208.
The only real listing issue would arise were this a 240/120 3 phade delta ... but that's not the case here, so there's no sense muddying the waters. In any event, feeding 1-phase panels from the new 3-phase service is not an issue.
Where there MIGHT be an issue is with certain appliances. For example, any sort of heating element will really suffer from the lower voltage, and the customer might have to replace them. For example, the 'booster' heater in a restaurant dishwasher will no longer make the water hot enough.
Another thing that may suffer is the air conditioning; many of those are actually rated at 240v - for which 208 isn't enough. Remember that motors are designed to operate within 10% of their nameplate voltage (actual delivered volts needs to be within 10% of the nameplate).