But why do you think Neutrik specs the minimum source impedance at 200 Ohms?
Do they?
Actually, there never is any minimum source impedance spec for transformers, only a maximum source impedance.
Golden rule #1 for successful application of audio transformers: Drive it with as low impedance as possible (and properly terminate the output for higher frequencies to get flat FR with no overshoot).
The lower the source impedance the better the low-frequency behavior. We want the inductance to be dominant against the DC resistance because the latter is basically a parasitic. Obviously, when driving the xformer below its LF cutoff (where inductance gets too low) the source is loaded with close to the DC resistance and that may stress the source. Can be filed under mis-use, though. Same goes for overdriving. They can even have chaotic behavior under overdrive, this can be seen as the low-frequency waveform breaking down, being "folded over" when reaching a certain level, but flipping back at a much lower level. A bifurcation problem -- and it sounds very nasty.
In the extreme case you drive the transformer with a
negative source impedance equaling its DC resistance. That's what AP and other do with their clever feedback circuits for transformers (including a DC resistance vs temperature tracking with an extra winding for that purpose).
Transformers are very much like speakers: If you need them to go loud and deep with low distortion you need to go BIG.
Even the ingenious active "zero-field" technique (driving the xfmr. with current and sensing the short-circuit current on the secondary side) doesn't change that by much and has bunch of drawbacks anyway.