Heh. Quite possible. Certainly Babs not recognizing Matches is ridiculous and insulting, both to her intellect and their relationship. But even if it were an ID Bruce made up just for that it would still tick me off. If she'd gone to him for a contact, or better, he'd offered her Dragon's number the way she offered him her lawyerly services during BW:M or the like (and then, unlike him, she had the emotional IQ to say 'yes thanks'), it'd be different. Him paternalistically stealth-propping her behind the scenes, though, is just offensive.
But also easy enough to fanwank, fortunately. Just figure she's doing the exact same thing she was doing with the Babscam in BOP - she knows it's him, and knows he's just trying to be caring and helpful in his own stunted, controlling, secretive way. So as long as he's not a jerk about it, she just lets it happen, doesn't acknowledge that she knows it's him. And thus they never talk about it, and neither of them has to wound that unyielding pride they're both so captive to by admitting that she could use his help or that he was worried for her. In that light him using the 'Matches' handle simply makes the lie mutual - him admitting-without-admitting that it's him right up front.