What is it that people like about the widescreen apart from it filling the top screen?
I tried it out and found it just looked off, especially on games that are using both screens with something passing through like say Arkanoid and even in other games it didn't look as good as the regular display.
For 3D games, you can use a cheat code to render a wider field of view (models squashed horizontally - taking up fewer pixels so being lower quality - into the DS's 256x192 resolution, then stretched back to the correct ratio by the file created by the patcher).
For games that don't have a field of view code identified, and any 2D games, yes, the picture will be stretched and it will look wrong (c.f. the GBA's 1.5x widescreen mode for GB[C] games).
And it won't look as pretty as the regular aspect-ratio scaling modes, because expanding 256 pixels to 384 required deactivating the improved scaling for the x-axis.