There are no silly questions.
ATRs indeed have de-icing boot around engine intake.
No, it is not a silly solution.
Behind intake is an S-duct with bypass door, which acts as centrifugal separator and prevents larger particles, such as ice shards, from reaching the LP compressor - BTW it's centrifugal type, less prone to fod than axial ones.
Clandestino
Airbus driver.