Well on the 360 you have better access to the underlieing hardware. As such certain things that are done behind your back on the PC you have to be more explicit about on the 360. For best speed most textures will be "swizzled" to allow for rapid access by the graphics hardware. By choosing an _LIN format you are saying that actually your texture data is un-swizzled. The hardware will then use a slower backup path to handle the textures. On 360 you are best off using the functions provided to swizzle your texture and on PC just using the default. Compressed formats, which should be preferred over uncompressed, are always swizzled correctly by nature of the DXTC compression and decompression algorithm.
This question really ought not to be asked here, though.