All of the legal issues with trusts that have come out here are great. But as to the original question, having worked in Private Banking for some time...let me add my two cents pretty please
Often these clients get absolute hell trying to write a check when the subject of ID comes up. The fact that they've established a revokable living trust also is a clear indication to someone reading the check, that this person probably has some funds...funds they might want to help themselfs to in a less than legal matter.
I would never title the account as John Doe, but I'd certainly allow the single name on the checks.
I've also been a CSR and a teller (yes I couldn't hold a job without getting bored in a year). Lazy tellers and CSR's who don't look at sig cards or account ownership on the system...and rely on whats printed on a check...deserve to take losses.
Heck...I've seen checks that said "eBay Account" or "Rental Account" on line two of the name line. You can have anything printed on a check by an outside party...you can make your own checks...(criminals often do). Relying on that document for account verification is frankly, sloppy and...somewhat nuts