Wouldn't it have been better from a writing perspective for Bo Katan to have a "Ripley moment"?
Realizing that she needs to go to Mandalore, instead of sitting around.
Maybe she looks in a mirror and sees her sad life sitting around.
Then she either joins up with Mando just before he enters the cave, or ends up saving him later.
But then you have less for Grogu to do, but he can do something else.
Have the characters react to events less and deciding/evolving more.