Try to remember that an amp is just an amp. I CAN fix the deficiencies (if any) in your source, but it may not. If you tend to use dynamic earphones with your player and your player has no frequency deficiencies with low impedance earphones, you will be down to the more subjective differences of stereo separation and distortion, two areas that are frequently argued upon.
Some people love channel bleed even if it isn't in the original signal: and it makes sense with headphone listening since headphones sever the continuity there. Secondly, distortion, which can sound warm, fuzzy, and nice, may be lowered. The T3 is a high performance (bug decently priced) headphone amp. It WILL drive any iem on the market to impossible volumes, and with little distortion, good channel separation and perfect frequency response. That means music CAN sound more like the original signal.
Remember that we are talking to audiophiles here who tend to want to eschew the original signal; oftentimes, what sounds like the original sounds 'digital'. So in some ways, a high performance amp will actually (though sounding truer to the recording), introduce a thread of discomfort. I tend to like everything a good amp can do, but that doesn't mean that in all areas, the amp is 'better'.
Still, the T3 is one of the best for iems, particularly for balanced armatures and particularly if you have a player with an output that gets sweaty when running lowΩ earphones.