Unfortunately this doesn't work in my experience. The credit card company will absolutely back you if you've been sold bad goods or services, but they seem to need to see evidence that you've already done your due diligence in trying to recover the money yourself. The evidence needs to show that the seller isn't willing to reimburse you. I find email works best for this.

The last time I encountered this was with Air Transat. I had to submit my twitter and email correspondence to my Visa provider. I was never issued tickets but I spent nearly $3k on my card, then had to do it AGAIN so I'd get tickets in time for my trip. So I went on my trip missing pretty much all of my spending money, and Transat and Visa were both just playing a waiting game for the entire two weeks. Thankfully my accommodations were paid for in advance and food in Puerto Vallarta is delicious and cheap. I didn't get my money until about 3 months after they took it from me.

I've heard Mastercard will do chargebacks with no questions asked, but I've never actually done it.