I personally find it easier to do some "advanced" stuff on stick. kara throwing is way easier on stick for example.
I'm not huge into the execution-heavy SSF4 stuff but I think zfs was sying FADC is harder on pad too.
also I can't do 360s on pad at all, stick it's much easier.
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http://www.youtube.com/watch?v=npHDxSvwCE0