Crowley couldn't help but laugh at that, the matter-of-fact correction. He was paying more attention to what Michael was saying rather than the fact that he was smirking just slightly, though he could hear a trace of amusement in his voice, you couldn't very well say what he was saying with a bloody monotone. Unless you were someone like Castiel, of course. "Well, you said it, not me." It was funny he mentioned it, what with the whole Godstiel fall out it turned out to be a whole bunch of dick jokes.
Crowley merely nodded in agreement, making his way to his feet as well. "Of course. I'm sorry I was the bearer of bad news, but at least you now know. And I understand that you need to confirm your suspicions, most likely from the horse's mouth." Crowley blinked when he saw Michael paying for his drink, a little surprised at the gesture. Clearly he'd made an impression.
"Will do," Crowley nodded, voice a little softer, thoughtful, mind racing. He shook his head slightly, more himself as he looked up at the archangel. "I can't promise I won't distract you further, but I'll let you know if there's anything that I need. You feel free to let me know if there's anything you need either." Crowley was glad he could help Michael and be assistance to him, and clearly he was if he was paying for his drinks. What was the human expression, 'paying it forward'? Hm. One good turn, maybe he'd return the favour for Michael someday.
"I'll see you around, Detective." Crowley gave Michael a nod, before he left, headed straight home to check on his dogs. Normally he'd blink his way home but he was planning to walk home as he had a great deal still on his mind.