even if you buy the same model/get sticks with the same "numbers" (speed/timings/voltage), its still very likely they are using a different chip.
they can switch them from one batch to the next (low stock/lower price etc), so unless you know exactly what is mounted, matching numbers isnt enough.
there are exceptions to the rule. some bigger names usually tend to stick with one type of chip on oced modules, for the full lenght of production (of that model).
so when i got another pair of corsair ddr3 (2x4gb) that had IDENTICAL CHIPS (not just model, but also same chip on it)
and running it on an intel platform (usually a bit less picky on ram), i still got it to work fine, even oced (2133 instead of 1333).
last thing: what you need 16gb for?
nothing short of video/photo editing and the like will make use of it, gaming will not be affected (as consumer boards are only dual, not quad channel),
and swapping for faster modules would make more sense (as you would gain performance), or investing in a bigger gpu (if about gaming).
im getting my rig ready to do stuff in 4K, and recently swapped my 16gb@2133 for 32gb (running at 1866) with a friend,
and it's noticeably that i dropped almost 300MHZ, even that i have more.
os/software feels much laggier than before, especially at higher system load.
long story short, no need for upgrading ram, nor would i do it except absolute identical chips.