I honestly think the Dejavibe can cover just about any rotary/univibe sound I have heard. Personally if you are going to spend around $230 for a leslie/univibe pedal, I would go with the dejavibe. It sounded great to me the several time I have played it. The Mojovibe ( forget company) gets alot of praise on here also, but I never used one and believe they are $300 and I am not sure if you want to spend that much.
For me personally, It would be between the voodoo labs microvibe which is around $100 and the dejavibe. The microvibe would be for if you want some more basic sounds, and the deja would be for some extra options. Both shouldn't be too hard to come across in a store somewhere to try out though.
To answer your question, I would say it would do the "sober" effect.