SanHor, thank you for the feedback, I really appreciate it!
1. Yes, the line training is done by an experienced captain and not an instructor.
2. Right now I'm still flying my LIFUS sectors, can I even log them as a PICUS? Or should it be Dual flight time? Due to being single pilot operation, I think that I can not log it as a Dual hours.
This was my thought process: I am flying a single pilot operation, it is my line training and if it would be just a regular line flight I should be a PIC. The line training captain is sitting in the right seat with me and due to that, the flight should be logged as a PICUS (he has not intervened the flights).
Am I correct?