DAC Output 192/16 vs. 192/24 Will I Hear A Difference

Doubtful this spec alone will guide you.

I'm curious, are there any DAC's which can do 192/16 but NOT 192/24??

agree with erik...that spec, and other specs, are often only a small part, and don't need to worry about what chips are used as there is way more to good sound than that alone...

op,
    I do not have the "ear" that many of the established long time members here have.  My system is resolving enough for me to clearly hear quite a difference between standard 16/44 and 24/96.  At my skill level the move from 24/96 to 24/192 is much harder for me to pick out. That is my honest answer. I am 54 and do not have the ears of a 30 year old anymore. I think the original source material plays a large part.  IMO a quality DAC with an excellent analogue stage is a very wise decision. Money well spent. Cheers. 

Haven't seen any Qobuz tracks that are 192/16. Your Dac may quote this spec. 
192/24, 96/24, and 16/44.1 on Qobuz as far as I know.

Yes, I know there are other things to consider and implementation matters. It's just that some users will say such and such DAC inputs up to some spec, but does not output to the same spec. Confusing to me.