PF2e: Rolling stealth (including initiative) sets the hidden condition and tracks the check result internally in a flag. If the hidden condition is set via the token HUD, its value will default to the Stealth DC of the actor.
PF2e: Rolling a perception check (excluding initiative) adds a 'Seeking' PF2e effect to the actor which tracks the check result.
PF2e: Hidden/Seeking doesn't yet affect the canvas - this is a work-in-progress