Sarah,
There would be value in your current team analyzing the previous reviews that have been done on the topic, or looking more closely at the included studies of those previous reviews....but this might not be what they want to do.
I'm working on a somewhat analagous project in which we are updating an influential meta-analysis. Turns out the original meta-analysis skipped ROB & quality assessment of included studies. So, in addition to updating the m-a (including quality assessment), we are also doing a second project looking more closely at all the included studies for from the original m-a and the updated m-a. This is because, in this case, this team is very keen on calling for improved methods in the field of study. And some of the included studies from that influential meta-analysis are looking rather questionable!
Jane