A quick search of the internet reveals that the "rhetoric" in the first post comes from the website of the
Health Physics Society so I think it's fair to say it comes from scientists.
The FAA calculator appears to give exposure estimates not very discrepant from those in HPS information.
The HPS statement simply suggests that people who are frequently exposed due to flying should be "classified formally as occupationally exposed workers" and educated accordingly.
However, looking at the numbers it seems unlikely that anyone would exceed the recommended limits for "'radiation exposed workers" by flying (using either limit).
Even 700 hours at 8 uSv per hour is only 5.6mSv