A balanced Tortuga will be connected to the balanced input stage of typically a power amp. Just about all of these use a simple balanced input looking like this

This actually has different loading for V+ and V-. Conventional wisdom is that the V+ sees 2R, but the V- sees only R (which is bad enough!), so as far as loading is concerned the simple balanced input is not balanced at all. But it is even worse than that.
The V+ impedance is 2R that is expected, but the V- is 2/3R, not R. This happens because of a sort of negative bootstrap. The + input of the opamp receives half the + input voltage. The difference between the + and - opamp inputs has to be zero, so the - opamp input has to be also 1/2V+, and hence the voltage across the V- input resistor is 1.5 what one would expect, reducing the effective input resistance to R/1.5 = 2/3R.
The typical balanced input will use 10k resistors, with the + input seeing 20k. But the - input only sees 6.67k. This difference in loading has a significant impact on any balanced passive pre, and the Tortuga is no different in that regard. It will manifest itself as a balance shift as volume is adjusted, because the output resistance changes with volume setting.
Also just about all the "conventional" balanced input stages generate considerable noise as compared with a single ended input - as a result of the relatively high values of resistor used. This is why just about all high end manufacturers quote power amplifier noise with the single ended input only and remain pretty much silent about the balanced input noise, which is usually worse by a good 10-15dB.
There are various balanced input stages which mitigate the impedance imbalance (but with noise problems too), but since you don't know what design philosophy has been used, and with amp manufacturers being pretty much silent on the topic, you cannot assume anything.
I've just upgraded the balanced input stage of my active crossover (which was the vanilla type above) to a design which simultaneously gets around the loading problem (presents 47k to + and -, or any other value you like), and produces a major reduction in noise (15dB or so), to the extent you have to put your ear a few mm away from the loudspeaker cones to hear anything at all. The effect on the sound quality of the Tortuga is not insignificant!
Craig