Those are the ones, although strangely I have seen the new head design sold as the 171 as well. Baili naming convention is just plain confusing, especially when you consider vendors often sell the razors under a bunch of different names.
The following picture has been posted on another thread but it seems the best way of determining whether you're getting the upgrade head or not is to ignore the model name entirely and just go off what the handle looks like:View attachment 1093800
Alternatively OP could snag either the Razorock DE1 or Teck II if that's a more accessible option. They're just rebranded versions of the Baili 176 and 191.
Hard to tell from the pics but the one on the left (Classic) looks like the 131. The one on the right (Upgrade) looks like the 171/172.
I'll dig my 131 and 171 out later and post some pics for comparison.