Sound speed propagation and detection

[shchuka]

I was reading the Notfallmappe_06 manual and stumbled uppon this:
Quote:

For subs at different depths, which one will detect the other depends upon the SSP profile (assuming that there is no layer and the subs acoustic radiation are equal): If the SSP speed increases with increasing depth - then the deeper sub will hear the shallower sub first. The sound from the shallower sub accelerates towardthe deeper sub; the sound from the deeper sub decelerates toward the shallower sub.

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This doesn't seem right. As far as I understand, if sound bends towards the slowest speed, then the shallower sub should hear the noise from the deeper sub because the sound in this case bends upwards. The noise from the shallower sub decelerates downwards towards the deeper sub because the speed of sound there is higher than at the surface and wants to go upwards.

Is the manual wrong?