A carton is a carton. Except when it is a magnetic box, a resealable box, a travel box, or a 'box' with no further detail. In 121 face towel listings, 49 pages said something about the pack. Between them they used eighteen different labels.
Box was the most common single word, at 27 records. After that the vocabulary splinters: pull-out bag, portable pack, travel pack, resealable bag, pop-up dispenser bag, drawstring roll bag, flap-sealed travel pack, compressed tablets, individually wrapped compressed tablets. One page sold a roll in a bag. Another sold a box it called magnetic.
Why the words drift
Packaging language in this category is written by whoever built the listing page, and it mixes three different things: the material of the pack (film, board), the way a towel comes out (pull, lift, unwrap), and where the pack is meant to be used (travel, shelf, counter). 'Travel pack' describes a use. 'Flap-sealed' describes a closure. 'Pop-up dispenser bag' describes a mechanism, and it is the closest thing in the panel to a term a factory would recognise.
Seventy-two pages described no packaging at all in the accessible text. That is not the same as selling an unpacked towel. It means the format was in an image, in a specification tab, or nowhere.
The compressed tablet is the interesting outlier
Two records sold the towel as a compressed tablet, one of them individually wrapped. A compressed nonwoven tablet is a real format: it expands when wet, and it saves an enormous amount of carton volume. It is also impossible to compare with a folded sheet on any of the usual fields, because the unfolded dimensions are what matter and the pack shows a disc.
This is where a name-based brief fails. 'I want a travel pack' can produce a pouch of eight folded sheets or a box of compressed tablets, and the two are not substitutes.
What to write instead of a name
Describe the structure: pack material, how it opens and whether it closes again, whether the towel is folded flat or interfolded, piece count, and whether the pack must stand unaided. That set of questions survives translation and survives a change of supplier. A name does not.
What this does not say
These are seller labels, not a taxonomy, and we have not sorted them into official categories. Some of the eighteen describe the same physical thing, and some names we could not resolve into a structure at all. The count of 49 pages with a packaging description is a capture frequency in a selected panel.