I agree, that seems the most natural, intuitive way to handle this, particularly since you can initiate playback of already-recorded items from there. Other users have lamented the fact they they have to track down the airing in the guide to begin playback of in-progress recordings, so there may (or may not) be a separate feature suggestion for that already.
[Edit]
This is the closest feature request I found with quick search; the title doesn’t, but the description mentions in-progress recordings:
And here’s an interesting one which suggests a “recording in-progress” hub (I don’t know how I feel about that one):
