Fair enough, I guess I could have imagined arguments... I just don't feel they are very good ones. Your kids are your family, they are going to pick up on any shame and embarrassment you feel, and hiding the details isn't going to make them not see that in you. Explaining the actual situation might actually make them feel better, rather than their own guesses as to why their parents are ashamed and embarrassed.

Same with shielding your children from difficulties; they are going to sense things, and their imagination will be worse than the reality. Tell them your problems, but do so in a way that conveys your confidence that you can overcome them. You are teaching them about life, which is really just a series of difficulties that you overcome.