Lawsuit and public humiliation?

STBX all of a sudden has decided not to pay any child support/alimony . We don’t have any papers on it yet but he was
voluntarily paying me a specific amount each month for the past 5 months.My lawyer said we will file a lawsuit. She said first we will send a letter to his attorney saying our intentions unless he can start producing something quick. She said there was benefit from this b/c STBX may want to avoid public humiliation of the lawsuit being filed.

So what kind of public humiliation would he experience if a lawsuit is filed?

He could be served with papers at work, or just generally be embarrassed by begin accused of begin a deadbeat.