Ingested videos not playing in stereo with Quicktime or after exporting with compressor

Why does it seem like every time I try to do something just mildly complex I'm stymied by some bug or problem with the software?

Here's the deal:

0) I have footage was shot with a stereo camcorder, a JVC GR-DV3000 (circa 2003), with built-in stereo mics.

1) I ingest the footage from the Mini DV tape and save it to a camera archive using Final Cut Pro X (latest version).

2) I use Final Cut Pro to pull the events out of archive.

3) When the events are played from within Final Cut Pro X, I hear strereo and audio meters indicate the audio is in stereo (left and right channels have different volume levels).

4) When the events are played with the open source software, VLC, I hear stereo, too.

5) When I export the files for playing on an Apple device using Final Cut Pro, the audio is in stereo as you would expect.

BUT:

5) When I play the event clips with QuickTime from my hard drive after step 2 above, I get no audio from the right channel. Weird, right?

But most annoying of all:

6) When I use Compressor 4 (instead of Final Cut) to output the event clips to "SD for Apple Devices" using the default audio settings, I get no audio from the right channel, either.

7) I've got hundreds, if not thousands, of clips. I'm not about to save each clip manually with FCPX. I need to batch convert these files with Compressor.

8) I've tried various combinations of the audio import settings ("Analyze and fix audio problems," "Separate mono and group stereo audio," and "Remove silent channels." These options have not solved the issue for me. The clips still play in mono in QuickTime.

When I look at the properties of the file in QuickTime, here's what it shows:

DV/DVCPRO - NTSC, 720 x 480 (640 x 480)

Linear PCM, 16 bit little-endian signed integer, 32000 Hz, Left

Linear PCM, 16 bit little-endian signed integer, 32000 Hz, Unused

Linear PCM, 16 bit little-endian signed integer, 32000 Hz, Unused

Linear PCM, 16 bit little-endian signed integer, 32000 Hz, Unused

Why it's telling me the other 3 channels are unused, I have no idea. As I mentioned, the footage was shot in stereo and even Final Cut plays it in stereo.

Here's what VLC says about the very same file:

Stream 0:

Type: Audio

Codec:PCM S16 LE (sowt)

Channels: Mono

Sample Rate: 32000 Hz

Bits per sample: 16

Stream 1:

Type: Audio

Codec:PCM S16 LE (sowt)

Channels: 1

Sample Rate: 32000 Hz

Bitrate: 512 kb/s

Stream 2:

Type: Audio

Codec:PCM S16 LE (sowt)

Channels: 1

Sample Rate: 32000 Hz

Bitrate: 512 kb/s

Stream 3:

Type: Audio

Codec:PCM S16 LE (sowt)

Channels: 1

Sample Rate: 32000 Hz

Bitrate: 512 kb/s

Stream 4:

Type: Video

Codec: (DV Video (dvc)

Resolution: 720 x 480

Frame Rate: 29.970030

Decoded Format: Planar 4:1:1 YUV

If anyone can point in the right direction, I'd much appreciate it.