Yes, but for technical reasons mainly. Focussing on the console's strengths can result into more advanced gaming experiences. For example lag free online gaming with 32 or more simultaneous online gamers, taking advantage of Blu-Ray optimised streaming / capacity, processing power regarding onscreen effects/activity or with regard to Nintendo Wii-mote optimised experiences, etc.
However I don't think it's a good idea to make exclusives based on multi-platform gaming engines like with the Unreal engine or keeping a sequel to Halo or Alan Wake from PC gamers. I also think it's bad practise by Microsoft to buy exclusivity to anticipated Japanese games which would otherwise reach many more interested gamers as the console is a non-factor for Japan. Very bad for a competitive market.