Can it be wired 120/240? Not even sure why anyone would make a 120V 30A heater except for maybe an RV. 10% VD would yield 21% less heating power, but even getting the full 120V at the heater while running (which not even #6 will do; ~%4.8 VD) isnt going to change lukewarm to hot.
Are the showerheads identical? My guess is no. It would be much cheaper to change to a lower flowrate head than doing anything electrical here, save for possibly converting to 240V.
eta: Speakman makes great products. One thing to note is that they come with a removeable internal water restrictor, so even if both heads are the same model, one may have the internal restrictor and the other may not. The only way to tell is to remove them and check, or take a 5 gallon bucket and time the time it takes to fill them. The water pressure at one shower may be higher than the other, so even with identical heads (and restrictors), one would flow more water than the other, with a corresponding drop in outlet temperature.
Reducing flow 20% is essentially the same as boosting power 20%. Some of the nicer, better designed low-flow heads sacrifice nothing over higher flow models, aside from cost. Still, changing a shower head is a 5 minute fix.