When I think of "Nailsea style", I usually have in mind items such as those shown in http://www.hbe.co.uk/Glass.htm
and in particular the "speckled" jugs / bottles and the white looped pipe.
However, your stemmed glass with orange looped decoration is, indeed, in a style that has been referred to as "Nailsea". See http://www.lady.co.uk/articles/0415artA.cfm?framed=y
where, at the top right, there is a picture showing a decanter and tumbler in much the same decoration.
Unfortunately, the text in that second website seems to suggest that various items were actually made at Nailsea (and the author does not state the source of the information). Other literature, such as the booklet The Nailsea Glassworks
by Margaret Thomas, tells us that Nailsea were crown glass and bottle manufacturers and that the decorated items, which gave rise to the term "Nailsea type", were simply "friggers" ("whimsies"). I would even be reluctant to refer to the cranberry bell with white looping, as shown in that website, as "Nailsea style". And as for Nailsea using "latticino" and "millefiori" techniques, well ... what will people come up with next?
Generally, I think that there's a lot of looped or threaded glassware which has been given the label "Nailsea" for no othetr reason than it has loops or threads.