Plus, that's just not the writers' original intention, otherwise there won't be cut content about her being saved in the game file, and her burning to ash scene in the end won't be triggered by a "quest failed" tag.
Is there actual proof of this? All I've seen regarding this topic amounted to fandom urban legends. I datamine pretty frequently (not for Karlach, I'll admit) and follow datamining channels pretty closely and I haven't seen a peep of this. The flags for her death are "ORI_Karlach_State_EngineBurnedOut" (Described in the script as "Karlach's heart exploded") and even the synopsis provided seems to indicate it was pretty intentional.
I haven't seen and haven't been able to find the cut content with her being saved, only that impossible dialogue where she breaks the fourth wall.