Yeah, we realize that Calvin, in fact I'm probably the biggest advocate of making recommendations against doing that, but unless they are running sticks that are beyond JEDEC standards and in an OC/XMP configuration, the chances of them not playing nice are pretty minimal unless they are wildly different configurations. Certainly, it happens, and just going with a 2 x8GB kit would be the better option, but if that isn't possible then there is no reason to not at least try what they have in mind unless it becomes a major hassle to lose 4GB of memory if you end up having to only run the two stick kit.
What are the model numbers of the memory you have now and the memory you are planning to get? On that Z370 board, it is VERY likely that Flex mode will be supported.
You can verify EASILY once they are installed by running Typhoon burner or CPU-Z, and looking on the memory tab for dual channel verification. Not sure if it will list flex or not, I believe it will. But if any sticks are running in dual channel it should list it.