Not less than a single father in the same situation. However, if she has custody, than it is her responsibility to have a viable family care plan. Absent that, she is incapable of fulfilling her duty and therefore, should be chaptered. Decisions have consequences.
The military is not a social program. It discriminates against lots of folks - handicapped, fat, stupid, drug users, folks w/o a high school degree, those who cannot pass a pt test, and yes, single parents (not mothers) who fail to follow the rules and have a family care plan.
Of course you should raise your sons as you feel proper. A word of caution. - life is not graded on a curve.
Thank you for using "single parent", because that is the issue and not a single mom. No life is not graded on a curve, but men who father children and do not raise them are given a pass and it is more often than not, the females fault. Teaching our kids responsibility and accountability for actions and choices is what is required. This is my gender neutral position. Good night.