That's an excellent approach. What are the most common objectives you hear?
They are a captive audience and don't want to be "sold" anything.
Useless they're clueless, you're selling them repeat business. I suggest informing them that because of their fine establishment, you thought it best to approach them first with the near zero risk proposal, also informing them in almost the same breath that if they respectfully decline the offer, you're prepare to go to their direct competition with the exact same offer.