I was looking at some other designs of similar products. This one:
seems to use some kind of "supply isolation" IC; I can't find any information about it. Looks like it's labeled "DCH010606D."
They also appear to use an isolation amplifier "IS0124P" to couple the signal from the instrumentation amplifier. They're expensive - 20+ bucks in small quantities. If I were to attempt to isolate the input I'd probably just use optocouplers feeding a TIA, since great accuracy isn't really required here.