Cane sugar to me usually means something a little different than table sugar. Normally table sugar is MADE FROM cane sugar, but I typically think of table sugar as the refined stuff, and cane sugar the less (or un) refined stuff. Think generic white sugar vs. turbinado or demerara (both being completely unrefined cane sugar).
The less refined the sugar, the more flavor it will impart. Turbinado sugar adds a lot of flavor that regular white sugar does not. Sometimes that'll be what you want. Other times, it won't be what you want.
End result, while corn sugar and table sugar are chemically distinct (dextrose vs. sucrose), they ultimately have almost identical impact on the beer. No real flavor difference (neither will add flavor unless used to excess), just dry it out, lean it out, and boost the ABV a bit. If I recall correctly, only tangible difference is a very slight variance in the amount of sugar provided per weight (with table sugar adding a little more bang for the buck than corn sugar).