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I like it a lot. It's on my list but I'm not sure if I'd use it realisitcally. For me it has a childish (but not overly immature) appeal, I think of an adorable happy girl with blonde pigtails and a flowing pretty dress. It's one of the few names that I like that doesn't end in "a" and for that I am happy. I do think of Alice in Wonderland a lot but that's not a typically bad association for me. From the others you mentioned I only know of Alice Cooper - and he doesn't spring to mind when I think of the name.
All in all I think there is a charm to this name that, yes, not everybody sees. Because at the end of the day, nobody can like every single name, and there's always going to be someone out there that hates your favourite name... And vice versa.