> PT industry is not concerned by frequency response and source impedance.
They are, but in different ways.
Since primary inductance is never infinite, there is alwasy some reactive current. The current is "imaginary", and can be tuned-out with capacitance, but the I2R losses in the coil and line are very real.
In effect, they want "bass response better than 0.5db at 60Hz". Instead they call it magnetizing loss.
It seems to work-out (perhaps by intent) that 60Hz above 1KVA on anything better than stove-iron, the reactive losses are "small" relative to total power or to full-load losses. Good enough for commercial loads.
OTOH, run the mains up Wild Goose Road, houses 500 feet apart, some of them summer-only: you have a large number of small 10KVA transformers sucking energy 24/7 and relatively small billable load. Poor profit.
This is an "industry" problem. The lineman rarely computes the losses, but the utility industry and the iron-mongers have gradually improved irons. Standby losses are a key specification for some utility designers.
That's big iron. Little 10VA wall-warts sometimes have magnetizing current greater than load current. The first-cost is cheaper that way. The running cost may exceed the first-cost, but are still "small", and small-stuff buyers don't look at running-cost.
> presume PRR must have measured the Radio Shack xfrmr
Nope. I know it is good, as "1K", down to 300Hz-150Hz. 1H at 160Hz is 1K. Desired value in the Shure filter is 0.7H. It's ballpark, VERY cheap/available, and any "error" can be skewed by capacitor changes (much easier than finding other inductor). I also know it starts to grossly distort in a 9V pocket radio, over 10V across the primary, so it "may" be low-THD at mike-level. It's not shielded, but you will learn not to lay it on power transformers or other hotspots.