"You heard it right. I trust you and Hulk with my life so I'll be as honest with both of you as I can." What he'd said could be viewed as disturbing but HYDRA had spent a year trying to break him. He'd been subjected to months of interrogation, they tried to condition him as a super soldier for HYDRA. And it'd been all he could do to try and play along until help came for him, and if it hadn't he'd have either been broken or he would have took his own life to save the lives of countless others.
"Hulk saved my life the other day. And I honestly think Steve would have died if it wasn't for Hulk. If you need help with something, even if it's just someone to talk to about whatevers on your mind, I'd be happy to help you." When Bruce's mug shattered Adrian knew he might Hulk out, but he didn't leave the room. Very few people had Adrian's trust since he'd spent most of his adult life as a ghost. Both Bruce and Hulk had Adrian's complete trust and he saw them both as his friends.