Yes, we all cringe when the ball is hit to him in right field. And yes, Snyder seems much steadier behind the plate. But the bottom line is that Project: Resurrect Doumit's Value is coming along just fine. Since the trade deadline, Doumit's wOBA is .348. SSS and all that, but that's a completely reasonable number for him (career .335), and it's not driven by a high BABIP (.278, a bit low for him).
For a catcher, a .348 wOBA would be a top ten number among regulars. Among qualifying RF, that's also top ten. In other words, he's been a more than useful hitter.
His defense remains suspect, but there's nothing we've seen in RF to utterly negate his bat's value; if you assume some marginal improvement from increased playing time (and regression to his career defense behind the plate), you've got a guy who can play a hard-to-fill position with a well above average bat and an easy-to-fill position with a more than adequate bat. If he keeps this up for another month, he looks very much like a guy who can be traded without his contract being an anchor, or even a guy worth keeping around if no one else steps up in RF. The big question is how many teams can use a guy who's at his best playing 4 games a week in RF and once or twice behind the plate? Turns out that his value may be limited more by the number of good fits out there than by the specifics of his contract or performance.