Not true. You will lose grip all round.
Tyres are designed by computers - The whole design process is based around a certain range of rim width sizes. If you put a tyre on a rim that is to large you will make the tread surface convex, on a rim that is too small you will make it convex - effectively removing tread therefore grip from the road surface.
That is why the shape of sidewalls has evolved - to create an omptimum contact patch with even contact pressure on the recommended rim widths.