Zero care. I have a 360. I have a PS3.
Ever since I noticed how badly Xenogears and Final Fantasy VII ran on a PS2 (this had native PS1 hardware emulation mind you, the IOP in the PS2 is essentially a PS1 on a chip with a native PS1 boot mode when a PS1 disc is used) I've always preferred native hardware. I even play my SNES games on a Sony PVM RGB monitor.
BC is a neat parlor trick and gimmick, and I applaud the effort, but native hardware ftw for me.