The etymology given's incomplete: it's also a medieval name derived from names ending in -lina (Linet, Linot, Linnet(t)) and has been in use, although not very often, ever since. Here endeth your nerdery for this evening.
I'm pretty much with you on it. It looks sweet and it's a cute little bird, but the sound is not so great: Linnit. Like 'innit'.
Luned is nicer, to me anyway.