I see no reason not to report. The SCRA doesn't mean they don't have to pay. Their payments may be reduced, but payments are not eliminated.
In a sense you may do them a disservice by not reporting. Say the servicemember starts an allotment to his girlfriend for his bills. From that, she is to pay his loan with you. He checks his credit report periodically to watch his credit and look for ID theft, activity, etc. If you don't report, he may not know, without contacting you specifically, if the bill is being paid.
My opinions are not necessarily my employers.
Rules and Regs minus Relationships equals Resentment and Rebellion. John Maxwell