[@Slime] BBeast is more or less correct. The white giant patrol routes are not straight lines, though they are circuits that are as consistent as possible. They can sprint at a solid pace, but they maintain about the same speed of a migrating elephant when patrolling.

They won't interrupt their patrol unless they detect something non-Tounic or non-Sloughish. But as long as you have birds on or around you, it'll probably not try to wallop you.

Also, before you ask, I contrived humans to have enough Slough in them by pure coincidence of design that white giants leave them alone. So your tagalongs should be safe as well.