Exactly. All choices can coexist just fine, and it's up to each individual player to decide what story they want to tell at the end of the day. The fact that such a choice is not available for every nuance, i.e.
for actually saving her
, detracts from the choice-based storytelling.
The argument that tragedy is artistically valid does not deny, nor coutermand the fact that it would not be affected in any way by the addition of a new ending (although it could be argued that it wouldn't be new, either, judging by the cut content, but whatever...).