There is another kind of perverse thing about the dresdenverse that works fairly well with consequence mechanics.
Supernatural healing of various kinds is fairly common, even Harry gets healed from time to time although he lacks such resources himself for most of the series.
But nobody easily comes back from mental or social consequences. You need a therapist and time. Harry started dealing with the consequences of picking up a Denarian coin only after he talked to Georgia and Will about the situation...until then it was bottled up inside and not even beginning to heal (she was basically pushing him to feel angry about every little slight and push his magic with rage and thus hellfire all through the prior book and that book). Then Harry starts working it down and eventually turns Lash into a kind of an asset (likely an aspect for a while, once the consequence went away). He needed to given he'd filled his extreme consequence with his roasted hand and his moderate with "Fear of Fire" (something he's also working to get into recovery but hasn't yet at the time of the conversation with Will/Georgia...he picked that up to power the Ventas Servitas spell to blow the flame back in the prior book after he took the extreme consequence from the attack itself). Harry was fighting Dead Beat with most of his consequences filled before the story even started.
Harry not getting any help for the Denarian consequence (he kept the secret for a book and a half from everybody) before this was a compel on "I work Alone" aspect that he picked up after Susan got hurt....etc. Really Fate is a very good game system for the Dresden Files.
By contrast, a mere concussion just requires him to make a deal with his Faerie godmother....which causes problems later and gives her power over him, but he's up and running minutes after being taken out. Likewise in Dead Beat getting injured with a shuriken is such a minor deal that he uses getting it into recovery as an excuse to investigate and learn from contacts. Harry doesn't have any room on his stress track for consequences bigger than Minor. (later, he gets taken out because of this and needs Butters and Mouse to save him)
As for social....Murphy's stress track filled up with social consequences for helping Dresden until it broke her high concept. Recovering from social consequences is even harder than from mental ones...there's no actual mechanic but presumably you work through contacts and presence somehow. Indeed the mere THREAT of a social consequence to her drives much of the plot of Dead Beat, because probably Murphy needed to clear some before she picked up any more, and she was working off a "Workaholic who isn't a REAL woman" social consequence picked up at her family reunion (and inflicted by her sister+ex) with Kincaid in Hawaii (which started going into recovery when he ...um...removed her pants as part of a defuse a bomb scene in the prior book)