Put it this way: put up the nG theme and have a random person listen to it. Then put up Phillips. More people I would bet are going to recognize Phillips over nG because it has resonance and an appropriate tone and is memorable.
I have no idea what this "random person" you speak of would do, and honestly I don't care. What I do know is that I find the theme from the original series to be another example of a dull anthem-like tune, the kind I really don't care for. I disliked "Colonial Anthem" on the season 2 soundtrack, and I always skip it when I listen to it. IMO it sticks out as being too different in style, and not in good way, and mars an otherwise wonderful OST album. It was only a bit later that I learned that it was actually the theme from the original show (I was too little when I watched BSG TOS and it was too long ago to remember).
Now, Bear McCreary's BSG soundtrack is something that both 1) works wonderfully within the show - in many cases it gave the poignancy and epic feeling to the scenes, as much as the acting or the writing did (sometimes a lot more than the writing did); but it also 2) works wonderfully on its own. I could listen to the BSG soundtrack album all day long.
And, while I don't know about your "random person", a friend of mine who had never seen BSG heard me play a Youtube video with a BSG track - I think it was "Gina Escapes
" - and asked me what it was, because she liked it a lot.
And if you're going to make those kinds of comparisons, here's another one: a DJ in a club I sometimes go to (he mostly plays darkwave and EBM) likes to play the Main theme from the new BSG. I don't think he or any other DJ would want to play the theme from the original show (but who knows... just like you and your "random person", it is impossible to prove).
BTW, besides BearMcCreary, I also enjoy the work of Angelo Badalamenti and Michael Giacchino.