Giyu insisted that he had things figured our but if he did then he wouldn't be in a jail cell right now. He wasn't the one who told you to come pick him up, he figured he would just be in there for a day but you knew otherwise and came to bail him out.

You paid the police good money and they gave him up. You watched him walk out of the cell in confusion. The police really think the demon slayer core carries around bad people.

"I could have took care of things myself you know."