It depends
It depends, which kind of cuts you want to do
A scroll saw is the besz if you have to cut out f.e. an element of a frame (POF) - the blade of a scroll saw is not very big / long (only one or two mm in cross section), so you are able to make very small curves - but off course this is an disadvantage to make straight cuts
I have a Hegnar scroll saw and absolutely happy with it for these works, for which they are designed
on minute 13 you can see what I mean - with a bandsaw more or less not possible
A band saw blade with a band width ( length of up to 5 or 8mm is off course much more able to make straight cuts (but not really small curves)
a little bit a mix is the Pegas band saw with very thin blade - here curves are possible - therefore she is named sometimes "scroll-band-saw" - but I think thick boards will be problematik
Pégas Scroll Bandsaw SRP14 | Sawing | Dictum
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