It is true that importing files into older versions of Solidworks would have trouble with new features. However, many of the parts we all create do not use new features, they are simply a collection of extrudes, revolves and fillets. Perhaps a "save as" that would save as a SW2001+ or SW2003...
When I had access to several pieces of software, I would read in a DXF from Adobe Illustrator into CADKey, use "Interpret splines as polylines" and then export it back out and into SW. Then it was just a series of short straight lines. If SW would work on the import code to read splines, this...
This sounds like an OK solution if you need to do a logo one time but there has to be faster way if one frequently needs to work with designers handing over .ai drawings.