So firstly, we would never recommend mixing RAM modules. Manufacturers do not support mixed RAM modules as they have all potential to not work together. It doesn't mean they never work, just it's not recommended at all.
Additionally, if you ran this in that channel, both of your RAM will operate at the lowest speed. So if you mixed a 2667 module with a 2133 one, BOTH will only operate at 2133. This logic will apply to ALL of your RAM timings. So you'd be technically downgrading your current RAM module speed, for an increased amount of RAM.
But again, there's no guarantee they will work together.
If you're getting new 2x8GB modules, I wouldn't bother with the additional slower 8GB as it will just bring all of your RAM down to slower...