Two Anchor .... to major airline ...
It happens all the time! I did it ... in my new hire class, there was another ....
Although timing is a significant contributor; from my last active duty squadron, we have more NFO's flying for a major airline than we have military rated pilots.
What you can log, however .... as opposed what you can use on a job application ...
When applying for the FAA ratings and for that regional job ... log and report EVERYTHING. If you were at the controls, log it! It's legal! It's good for insurance!
However .... when you step it up and are applying for that major gig -- be discerning. Only report the flight time that they want! There's a huge difference between part 61 loggable flight time and what the major's consider.
When I was interviewing for my the airline that I presently fly for .... they commented, "wow, you came to this point the hard way!" .... I commented .... "no, just a different way!"
Good luck all ... fly safe!