Hi, there are some footages showing that pets still run straight after us once we are stealthed. It think it has to do something about dots ticks.

https://vimeo.com/552451478 (report to 1m20)
As you can see on that one, the minstrel was dot by bow proc, the tick stopped before i hide but the pet kept run after me.

https://www.twitch.tv/videos/1017122815?t=0h27m42s (minstrel pov)
https://www.youtube.com/watch?v=_xy7dToKHSg (sb pov)
There is another example, after the sb vanished the pet run straight toward the sb.

2 perspectives, one with dot still ticking and the other with ended one.