>>6404719The soft rubber hairpieces allow a little more flexibility. As you can see, they are designed for a minifig head but cede enough for a snug fit.
Aira's hair from LEGO Elves: the right side hair goes over the bandana.
Mia/Lily/Naomi from Friends: both sides overlap with gaps.
Olivia/Kate from Friends: gaps on both sides.
Disney's Merida/Andrea from Friends: tiny slit between head and hairpiece.
Disney's Ariel/Livi from Friends: small gap at right side.
CMF Cavewoman/Pixal/Toxikita: almost a snuggly fit, the hairpiece goes a little bit over the bandana.
Red Harrington from The Lone Ranger: it is possible but the braids go over the bandana leaving gaps between the braids, the torso and the head.
tl;dr: yes, you can use most of the soft rubbery hairpieces unless you care about the unnoticeable small gaps.