He shrugs, settles a little closer, and doesn't say anything more on the subject.

(The effort to pacify hardly even registered; it did not occur to him, and still hasn't, that Obadiah might see any reason to do that. If he had thought about the affectionate tone at all, he would have concluded it was either an act of deliberate antagonism or one of those lies that are true despite themselves. Possibly both. Probably, given context, the former.

In his own way, though, by getting Obadiah that drink and not offering any argument or unsolicited analysis along with it, Sherlock is trying a similar thing in reverse.)