There's been a trend in recent shooters to make things more immediate. Bob the camera around a little, show your character's arms and legs more often. That kind of business wasn't around in 1998, when Half-Life was released.
But what if it was? Or what if the game was re-released now with all the extra wobble and scientist limbs you could ever want?
It may look like this. And I like it. So long as you never see his face or hear him say anything, you're still getting the whole "silent protagonist" deal with Gordon Freeman you've always got, only now you wouldn't get that "floating gun platform" feeling that you only notice when you go back and play older shooters.
Fun fact: this was made by James Benson, the same guy who did that awesome Team Fortress 2 dance video from last year.