That's the idea!
As you point out, it moves the trust from the binary to the shell executable, but the shell is already a key piece of any build process and requires a minimum level of trust. The technique of bootstrapping on multiple shells and comparing the outputs is known as Double Diverse Compiling[0] and we think POSIX shell is particularly suited for this use case since it has so many implementations from different and likely independent sources.
The age and stability of the POSIX shell standard also play in our favor. Old shell binaries should be able bootstrap Pnut, and those binaries may be less likely to be compromised as the trusting trust attack was less known at that time, akin to low-background steel[1] that was made before nuclear bombs contaminated the atmosphere and steel produced after that time.
0: https://dwheeler.com/trusting-trust/
1: https://en.wikipedia.org/wiki/Low-background_steel