Oh no, I'm totally fine with that and knowing him by name and declaring he's the Hulk to all and sundry. Bruce has been getting recognized from people on other worlds that know other versions of him, so he won't be shocked. The fictional thing will be new, but it's not a huge deal. It'd just be the potential of knowing angsty details about his past that would bother him.

But I am SO fine with it. My contingency to respect the rest of the cast's wishes is to limit it to recognizing him from a made up comic amalgamation of his previous comic appearances? So MCU itself doesn't exist to fourth wall from, but some Incredible Hulk comic does. ...If that makes sense.