Upvote:2
I think you are misunderstanding the nature of "sponsorship" when it comes to Schengen visa and the purpose of bank accounts.
Your promise to pay can settle the first question. It can never answer the second question. So she needs to mention your "sponsorship", especially if she couldn't afford the trip otherwise, but she still needs to show her circumstances in the UAE.
Things might look different if you were living together in a stable, long-term relationship.