the invisible cast on could be a provisional one..
or it could be a tubular (aka italian, grafted, kitchenered) cast on
One problem is the same cast on might have several different names, (regionally, or in US vs. UK vs. canada vs austraulia!)
Long tail is also know as:
and the same it true for almost every cast on! they all have multiple names, and deciding which is which, from just a name it pretty difficult.
Does it make a difference which cast on you use?
Cast on's are just a detail, and YES they make a difference--
some are prettier, some are stretchier, some are stronger
NO, it really doesn't matter much. any cast on can be subbed for another.
The correct answer is your choice.
there are 50 or YouTube video's for the 5(at least 5) ways of doing an invisible (aka tubular/italian/grafted/kitchenered) cast on.
2 of the ways use provisional methods to get started.
the other 3 don't use waste yarn, (one uses 3 different needle, the other 2 are vaguely similar to long tail (one similar to long tail 'thumb', one similar to long tail 'sling shot')
in the end, ALL OF THEM LOOK IDENTICAL, and it is virtually impossible to know which method was used.
If you want to learn a new cast on, you'll have to read, watch and practice.. Or you could skip over this detail and use any cast on you want.
(can you tell, cast on's are an obsession of mine? some of those video's on YouTube are mine!)