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In what way do you find the OM-D lagging? Aside from continuous AF (where it's admittedly not great), the single point AF and such is faster than any DSLR I've ever owned in dim light and on par in good light.
It's got a shutter lag of 0.056 seconds too, which isn't exactly slow.
Unless I've misread your comment, in which case disregard (it sounds to me like you are saying you found the OM-D slow, so you're really glad you haven't even looked at the Fujis).
it was a completely unpredictable occurence, but it wasn't uncommon for me to have to press buttons more than once to get the desired effect, or a response at all.
The one-shot AF on static subjects was outstanding.
Moving subjects, don't bother.
Digging through the menus, or even using the SCP, at times, was atrocious- this is in large part, due to the super cramped controls of the camera.