Should I write a letter on behalf of an innocent party who was caught with a shoplifter?

A guy brings a woman to Walmart and they are there for several hours. The woman fills her cart with about $50 worth of merchandise (and purchases it)

But the guy, who wasn’t actually with the woman, filches a C.D. and is caught shoplifting. The police are called. No charges are filed, but both are banned from the store.

I say it is unjust that the woman was banned from the store along with the guilty party. But the police said, “Guilt by association”

The guy understands that he cannot come back into the store. Actions have consequences.

The woman has never stolen anything in her life and has actually been a loyal customer, probably spending $300 (and many hours) at that particular Walmart annually.

Should I write a letter or something?

P.S. I tried to intervene but barely avoided also being associated with the pair.