TRE is absolutely Draconian and there is no logic there. Do not bother, any debate or common sense would be better spent on The Borg.
You should try to NEVER hand over your license when doing a return. Have the receipt and do not accept store credit in lieu of a refund.
The problem is once you're on TRE's radar you can effectively never get off, so that ONE time you REALLY DID lose your receipt and would like store credit, you can no longer do it.
Sure retailers need to protect themselves but all this does is allow plausible deniability for BOTH sides: Home Depot (my experience) says sorry, it's up to TRE and TRE says sorry, we're just contracted by Home Depot.
Finally, BE CERTAIN they entered your DL correctly. The one time I wasted days I'll never get back trying to fight with TRE (foolish) it appeared to be that the clerk had punched it in wrong. My "report" -- which was a PITA to obtain through dead end phone numbers and emails that never responded -- had tons of purchases in far away lands.
It's possible someone was somehow using my DL #? But I've never had any other impacts like identity theft if so. And believe me, TRE would NOT believe you even if this was occurring.
The whole thing was so frustrating I finally walked away before I wound up in a padded room. Life's too short. Just keep your receipts and never accept store credit.