I mentioned those Pikatrons, because they're small (but nicer than Neutriks).
I don't remember the values, but I measured both the neutriks and the Pikatrons, and the latter had much higher inductance. And high inductance is what you need for excellent bass response, that's just physics.
"40Hz-20kHz +/-0.5dB" just means it is flat within that range when used within the given parameters.
When you read transformer specs, you have to be aware that this is just a snapshot of its performance under certain conditions (which should be given but often aren't). As I said, the driving impedance is crucial. In most cases, the data sheeet doesn't really say a lot, you have to make your own measurements. To evaluate various transformers, it's a good idea to make measurements at various impedances so you can optimize your circuit or vice versa find suitable transformers for a given circuit.
The main drawback of both the NTE Neutriks and those small Pikatrons is the limited level handling. The NTE 10/3 is spec'd at -6 dBu maximum input level for 50 Hz, 1% THD. That's roughly what a high sensitivity LD condenser capsule puts out at 115-120 dB SPL. However, 50 Hz is a higher than usual measurement frequency. At 30 Hz (which is a more usual measurement frequency) its level capability is likely much lower. Also 1% is on the higher side of distortion specs, and if you look at the curve for the bigger Neutriks (there is none for the NTE series), distortion rises very, very fast. (see attachment)
The Pikatrons, being similar sized, aren't much better in terms of level handling.