A word about words:
When we find feelings attributed to Hashem, as in regret, sad, crying, happy, laugh; obviously, we aren’t supposed to take it litteraly. However, feelings are actually self-realizing opinions, in an emotionally healthy person. When someone is sad, they are recognizing a loss to themselves. A feeling is also something that you can’t turn off. Having a feeling implies that something from the outside affected you. These two latter statements don’t apply to Hashem.
However, not necessarily are they part of the definition of a feeling, although it usually comes along with one. So, when we say that Hakadosh Baruch Hu was sad by the Churban, that means that even from Hashem’s perspective it was a sad momment and a great, albeit necessary, loss.
When you understand things this way, you don’t have to turn Mamarei Chazal into a Mashal. You just have to understand it correctly.