This is for arriving T6 at about 7:30pm.

It sounds as if calling for a taxi and then walking to the T7 stand could be the way to go. Do taxis take 15~30 minutes to get out of the terminal loop?

The shuttle could take 10 or more minutes to get to LAX-it depending on wait time. Reading other sources, Uber/Lyft could be a very short wait or take a while. Or a taxi from there?

Curbside sounds appealing in the abstract, but not given those wait times and terminal loop times.