Yes, caching. 32 bit quantities are often sufficient, and take up less space in cache.

Additionally, code that handles 32-bit registers in x86_64 is often shorter than its 64-bit counterpart due to the lack of REX prefixes in instructions. This also reduces the instruction cache footprint. Some instructions like integer division and multiplication are also faster when handling 32-bit quantities, but this depends on the microarchitecture in question.