the esthetics of “music” do vary from person to person, as taste is acquired, but some aspects are also influenced by the function of the music at hand – some is background noise, others create theme or emotional connections to tie with the visual story telling, and a myriad of other stuff. The same sequence of music may be forefront in one instance to be subverted in another as, while some of the influence of music on people is akin to magic, other parts are fairly well known and its not uncommon to see similar tropes for similar devices (like the choice of music used to convey an icy environment) So some of HoTS referential tracks do have a different emphasis because HoTS is a different game – theme of Tristram isn’t here to create the same ambience it had for Diablo’s atmosphere.
Now that said, the basis of your comparison, or rather, what you ‘like’ is demonstrated through Lucio with the examples given of “good” stuff being theme-variations that essentially invert the moving parts, the harmonies, the melodies (etc) of the music in favor of kicking up a synth beat and percussion. Woo, hoo.
On the one hand, while HoTS is either referential with its score, or it breaks down into repetitions of theme and variation, the “bad parts”, as you put it, is not likely the blame on the composition, but on the listener.
Starcraft Terran theme 1
Warhead Junction opening up with Terran theme 1
HotS version does have some change in the timbre on the same instruments (notably the brass) but it also adds to the referential esthetic with the addition of the… harmonica? Exact instrument aside, there’s a sequence the HoTS version has that fills some of the ‘space’ from the Starcraft version and, while i haven’t listened to a comparison of every track from HoTS to its host source, there are other samples that have a similar change, but for time stamp purposes, terran 1 is was the most accessible example for me to use here.
Now the ‘bad’ stuff could be the timbre change as some like the degraded quality or less-than-orchestra type sounds, but the examples given being Lucio-renditions has me more convinced its less an issue of the games music, and more a [your] taste issue.
We move Together as One is just the Lucio version of The Battle Begins and either the whole, or sequences of that make its way into pretty much every map as its essentially the ‘theme’ of the Nexus and I much prefer every version of that repeated to Lucio’s rendition.