It wasn't just the fact that his stuff had been burned down and that he was homeless, it was the fact that he could have been careless. That his prized possessions, including Zoe could have been part of that destruction. He hadn't been though, Greed was observent. He had taken the proper steps to ensure the things he wanted to hang on to were still within his grasp.
"Yeah, she's mortal. As far as I know. She's just...different. She can tell when I'm putting on my Sin face and when I'm just....me." No one he knew could do that. He gave Wrath a cut glare, but it was harmless. At least they understood each other on that level. They both wanted to protect something they cared about.