Maybe it's just me but I think it would sound better, finger style.
I think that if you tried to play it finger style you'd find that you just couldn't get the same groove and percussive effect. Happy to be proven wrong but the strumming rhythm of the pick gives it a feel that just doesn't replicate with fingers.
Using a pick gives you speed and consistency of note when alternate picking sixteenth notes.
But it IS harder to mute unused strings while not muting played strings while picking.
And conversely I find it harder to hold a note while playing other notes two or more strings higher when playing fingerstyle....... for instance, playing an open E and then adding a fill while it rings.
