Criminal Sentence 303: Who is a member?

From a brochure I got in the mail yesterday:

"As a loyal Get More Rewards member, we wanted to thank you with a few discounts to some local retailers."

Thanks, but your grammar stinks!

Who is a member? Not "we." Let's match things up better:

We wanted to thank you for being a loyal Get More Rewards member, so here are a few discounts to some local retailers.

If you wanted to keep the "As" at the beginning, it would have to be something like this:

As a loyal Get More Rewards member, you deserve some discounts.