Has anyone faced secondary inspection at the U.S. border while on Day 1 CPT?

I’m an F-1 student in a graduate program that includes work authorization from the start (similar to what some schools call “Day 1 CPT”). I’m planning to travel internationally soon and re-enter the U.S., but I’ve been hearing more and more stories about students being sent to secondary inspection at the airport—even when they’re fully compliant.

From what I understand, secondary inspection doesn’t necessarily mean you did something wrong, but officers might want to verify your documents, academic schedule, or employment details. I’ve heard that students in work-study programs (especially hybrid ones) need to be ready to explain their class attendance, how their job relates to their major, and show that they’re still enrolled full-time.

Has anyone gone through this recently?
What documents did you carry, and what kinds of questions were you asked?
Did you face any issues if your program had online components or if you traveled frequently?

Any tips for making the process smoother would be really appreciated! Also—should I be worried if they check my phone or email during inspection?

Thanks in advance!