Most modern versions of HBCD PE are 64-bit (x64) because modern UEFI hardware requires it. However, the exists as a specialized branch for several reasons:
An ISO of this nature typically bundles a massive library of "Best-in-Class" free software. When you boot into the environment, you get access to: Hbcd-pe-x32.iso
A 32-bit PE typically consumes less RAM (roughly 512MB to 1GB) compared to a 64-bit PE (which often needs 2GB+). If you are recovering files from a very old system with only 1GB or 2GB of RAM, the x32 version will run smoothly while the x64 version may crash or fail to load. Most modern versions of HBCD PE are 64-bit