I think that he meant that the lighting transformer has the center tap. Commonly, the high leg transformer on these banks is rather small which adds voltage imbalance to a bank that already has voltage imbalance from other sources.
One source of imbalance is that even if both transformers are the same size and supplying balanced 3-phase load there is unbalanced inductive voltage drop in the bank. Also, when such a bank supplies balanced 3-phase load the primary neutral current is 1.73 times the current in the hot leads. If you are close to the supply substation this is not a big issue but if you are far away it could be a problem because it will add to voltage drop during starting. The primary neutral is often spaced 2 to 4 times as much from the hot wires as the hot wires are from each other.Also, one a wye primary system single phase and open delta transformers are limited by the phase to neutral voltage.
Some of the newer technologies such as lower loss insulators and lower no load loss transformers. Wound transformer cores using thin laminations have very low losses compared even to amorphous iron which is a more or less dead technology.
Part of the idea of an open wye open delta bank is to save on the no load loss of the third primary hot wire and transformer. Oftentimes the no load loss of that third hot wire and transformer outweighs the installation cost. Most of the cost of an overhead distribution line is in the poles and the first 2 wires. Adding 2 more hot wires involves a relatively small marginal capital cost but the no load loss is 3 times as much. If you have a load that uses lots of kilowatthours such as a goethermal heat pump then justifying genuine 3 phase power is easier.
What some farmers even do for the occasional operation of heavy 3-phase loads is to use a generator. After accounting for blackouts they get more utility from a generator for how often they need 3-phase. I have also seen a machine shop that used a natural gas powered 3-phase generator instead of the full fledged 3-phase primary line right out front. The generator was cheaper than paying Ohio Edison $15,000 to put up a 3 phase bank and then paying 16 cents per kilowatthour.