"Same thing that goes on when you're around. Maybe somebody angry that you took off without a word. But life goes on, with or without you." He has been given no reason to think something Earth-shattering has happened in his absence. Besides, where Doc had come from, they have much bigger and far more terrible things to worry about than him going missing. They probably thought he took off because he couldn't handle news of the pregnancy - Rosita's probably cursing to high heaven that he's left her to run his bar and their side project all by her lonesome, and he doubts the Earp girls are even looking.

"They will be thinking I 'needed some space'. Probably for the better; it'd be a waste of time to have gone looking."