What I do not understand about this is, how could it be more obvious that this government does not have the confidence of the House?
The Westminster system has a lot of advantages, but for it to work the participants have to play by the rules, even the unwritten ones.
Even after winning a “vote of confidence”, the lack of confidence is screamingly obvious.
O Lord our God arise,
Scatter her enemies
And make them fall;
Confound their politics,
Frustrate their knavish tricks,
On Thee our hopes we fix,
God save us all! .
I think it's very clear as you say, that it doesn't.
And if Jeremy Corbyn wanted to be Prime Minister right now, the Opposition would be making a big deal of it.
But he doesn't want the responsibility for solving this mess, so...
As long as she wins a vote a confidence, she remains in power.