Lower latency is better than higher latency. There are a lot more applications for ASIO than recording purposes, since very low latency can be vital in a dozen different applications, I've used it in three myself.
A concept in high-end audio is the pursuit of higher quality sound, you don't have to necessarily hear the difference all the time. No one cares if you can't hear the difference in KS or ASIO since we all know that a 5ms signal is more pure than a 150ms signal. Similarly, everyone knows that their FLAC library is more pure than their MP3 library, even if they may not hear any clear difference.
What we don't know is why uLilith has more efficient code than the other media players, we just know it sounds better. You don't need to have a degree in how a blu-ray player works at the laser nanosecond level to appreciate the quality of the picture.
Some users are satisfied with the pursuit or perception of higher sound quality, other users need to have evidence before they actually concede to any difference, sorry we don't have evidence of ASIO or uLilith for you, just some common sense that they're more efficient and some listening skill.
Do you think it sounds better than cPlay? For me it's quite easy for me to tell the differences between cPlay and foobar. The treble is a dead giveaway plus the spacial positioning within the sound stage. It just appears to be bigger, more air within that sound stage. But treble is still the biggest giveaway to my ears.