Interesting. Not sure if I'm the rite person to provide answer to the question. But let me try.
I have owned both Sigma 70-200 HSM II as well as Pentax DFA* 70-200 (sorry no Tamron, my coworker has one, lovely lens though).
Some one on the forum did the comparison earlier:
https://www.pentaxforums.com/forums/54-pentax-lens-articles/273342-tamron-70-...elephotos.html
Just wanted to pointed out, you have 2 (or even more) options for this range. Obviously Sigma 70-200 HSM or HSM II or if you could find OS version as well and of course PENTAX SMC FA 80-200mm (I have never used it personally but heard it is very very sharp).
From my own experience...Pentax DFA * is faster and sharper (center and corners), but breath a lot more compared to Sigma (if it helps).
I have done the comparison between Sigma, Pentax 24-70 and Pentax DFA 70-200 with respect to sharpness/breath to see what Tony Northrup mentioned during his K1 review...and could not prove "corner sharpness" of 70-200 claim that he has mentioned, but saw focus breathing between Sigma and Pentax.
Here are RAW files if interested...
Microsoft OneDrive - Access files anywhere. Create docs with free Office Online.
Again, not sure if it helps. Ive used SIGMA for over 2.5 years (great performer) as well as DFA* for 6-7 month (couldn't say anything bad either, fast and sharp).
Not sure if it helps though...