There are legitimate reasons for depositing less than 10,000 dollars.
The bank may be liable for not telling their client it had to file a SAR report.
She could recover damages.
Yes, but so "the bank avoids paperwork" isn't one of them. And, as she's found out, the bank didn't avoid paperwork.
I don't think that banks are allowed to tell you whether or not they've filed a SAR on you. And there are protections for the bank. Here's an old PDF on the subject: http://www.fincen.gov/statutes_regs/guidance/pdf/advis35.pdf
One obvious reason would be that your business makes less than 10,000 per day. I would expect that to be quite common with a small business.