A few thoughts.
Valid? Who knows...

In order to "compare", I set the volume of the the two tracks so that the vocals were as close to the same level as I could make them (by ear)

The Halsey vocal seems to "float" slightly above or around-and-in-front-of the track.
Your (female) vocal seems to sit-in-the-mix - like a Rock song.
(Your rap/male vocal does have that wrap-around quality)
Conventional wisdom is that Country vocals "sit up front".
In those terms the Halsey vocal seems to land in between those 2 (Rock vs. Country).

Comparing the two directly, overall, the reference song keeps the individual instruments "distinct" (yet blended).
MISTAKE has more of a blended feel to the whole track. Especially when the Bass is playing (there is no real Bass in the Halsey song - which helps that "distinct" thing).
EQ and compression would likely play the biggest part in making a track "distinct" or "blended".
One GUESS is that your choice of tracks have more similar frequencies than the choice in the Halsey production - making them "blend" more.
(That is difficult to pin down without having the tracks in front of you in a DAW).

The Kick in H (Halsey) pounds your chest with each hit and is then teamed with other percussion. (They even highlight that in the video)
The Kick in M (MISTAKE) has a different feel - more of a "flow". Assigning those rapid hits to a hat might give the Kick more "space" - but then that is a different thing. But that is one difference between the productions. The lack of other type hits (snaps, claps, funky snares) in M adds to the sense of "flow".

On a sepearte note (no pun intended), the H Kick has a bit of "tone" to it (like an 808). Your Kick seems to be "flat" in comparison (that is subjective, of course).

All that being said...
A SUPER COOL production!!! Impressive. Amazing. Superlatives galore!!!....
It would be nice to know what parts (of the production) are BIAB.
You have talent. (Talents, really).

150+ Songs produced using BIAB RealTracks
And 50 more...
and some more...