This has been discussed before elsewhere on here I'm sure.
There are a couple of reasons why I used the shunt approach.
I'd used the Maxim chip on other designs, and liked it, had some spare so I just wanted to use them. And I thought some theory on chopper amps would make a good addition to an article. (This was originally an article for Silicon Chip magazine)
I wanted a couple of hundred mA capability too, which ruled out just the opamp approach. Yes, I could have increased the current capability if needed, but just didn't want to go with the feedback approach anyway.
Plus I didn't need nor want pA resolution range.
Sometimes there are other factors that decide what approach is taken in a design, it's not just about what might be the better technical solution.
Dave.