Fix propagation of device and dtype properties in Lite modules

[awaelchli]

What does this PR do?

Fixes #10556

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Did you have fun?

I made sure I had fun coding 🙃

Part of #1 (it's a lie, this is just here to avoid noisy GitHub bot)

cc @Borda

[tchaton]

LGTM !

[codecov]

Codecov Report

Merging #10559 (e23368c) into master (af4af3d) will increase coverage by 0%.
The diff coverage is 100%.

@@           Coverage Diff           @@
##           master   #10559   +/-   ##
=======================================
  Coverage      92%      92%           
=======================================
  Files         178      178           
  Lines       16248    16249    +1     
=======================================
+ Hits        14907    14908    +1     
  Misses       1341     1341