This one is teasing at the edge of my brain. At the beginning of the story, a form of matter transmission is demonstrated to an elderly CEO, I think using a rabbit. The current flaw in the transmission is revealed when the rabbit appears as a gelatinous mass, sans skeleton, albeit otherwise perfectly functional and happy. For some reason, the CEO has to get to the moon (or maybe Mars?) in a hurry, possibly because he was being voted out by his board of directors, so he makes use of the device, loses his skeleton, but finds that it doesn't really impair him, and that he actually feels considerably younger without all of those bones to weigh him down.
I'm pretty sure that I read it somewhere between 2000 and 2010, but it sounds like one of those classic science fiction stories. I read it in a collection of stories, but I can't remember what else was in there.