I've examined the contents of the input-modules udeb from the 3.2.0-24.37 kernel in precise-proposed and can confirm the hid-logitech-dj module is included:
$ dpkg -c input-modules-3.2.0-24-generic-di_3.2.0-24.37_amd64.udeb | grep "hid-logitech-dj" -rw-r--r-- root/root 27192 2012-04-25 04:52 ./lib/modules/3.2.0-24-generic/kernel/drivers/hid/hid-logitech-dj.ko
I've examined the contents of the input-modules udeb from the 3.2.0-24.37 kernel in precise-proposed and can confirm the hid-logitech-dj module is included:
$ dpkg -c input-modules- 3.2.0-24- generic- di_3.2. 0-24.37_ amd64.udeb | grep "hid-logitech-dj" 3.2.0-24- generic/ kernel/ drivers/ hid/hid- logitech- dj.ko
-rw-r--r-- root/root 27192 2012-04-25 04:52 ./lib/modules/