The difference between the "correct" and "incorrect" absolute phase/polarity of a recording on a system is easily heard. The important thing to understand is that it's a crapshoot as to the absolute phase of any recording. It is not a matter of your system's absolute phase/polarity alone.
To me, it is essential that a system's absolute phase can be toggled from a remote at the listening position. If you have to get up, walk over to the components to flip a switch, then by the time you get back to the listening position, your short term memory will probably not retain an accurate description of the difference. However, as you get more familiar with how the sound differs between correct and incorrect absolute phase presentation, you'll find that you can identify whether a recording is correctly set without even having to toggle the setting. By that time, you'll still be glad that you don't have to constantly walk up to the component rack and make the correction, if it's needed.
To those who say that you can correct absolute phase/polarity by switching the leads of the speaker cables, I think they have a misunderstanding that absolute phase correction is a "once and done" thing. I'm amused that manufacturers of preamps, amps, DACs, phono stages, etc. always publish in their component's specs that their equipment is "noninverting". This is the most irrelevant spec possible, since the root problem is that there has never been a standard for recordings' absolute phase. Sometimes it even changes from one track to another.
One other essential for phase/polarity control is that the signal paths of the two modes must be exactly equivalent. If the "inverted" setting is accomplished by sending the signal through another switch, additional wiring, an an extra stage, then the simpler signal path will almost always sound better.
The design of the Tortuga absolute phase/polarity control is extremely elegant and adds no additional complexity to the signal path. The purity of sound of the Tortuga allows the improvement in bass power & extension, flatter frequency response, imaging, and timbre to be obvious with the correct absolute phase selection.
It's really that simple. If you are purchasing a Tortuga LDRxB-V2, you will one day regret not having Morten install the absolute phase/polarity option.
Best,
Robert