I just had a very similar problem with the vector artwork distorting on import.
My artwork was not nearly as complicated as this, maybe we could ask if Terry White had any issues importing his artwork?
It's all well and good advertising features of the software, but not so great when there is obviously an issue when that feature has a fundamental flaw.
I think that plan B would be the go. That looks like a fairly complex AI file, and I can imagine that translating the vectors into FXG (the format that Catalyst uses) could be problematic.
Without knowing the full design, could you consider using rendered bitmap versions and using cross-fades for the zoom in & outs?
I am wondering of the distortions might be to the use of an unsupported filter or something like that?