"Cleared for Straight-In Approach"-- FAA rules only

[aterpster]

The thread is a bit broad. As I understand it the issue about which the OP is concerned is the FAA's use of a sector for some NoPT arrival routes.
First is Jeppesen's portrayal, where they have taken the liberty of adding a graphical sector and wording of their choosing, and second is the FAA chart, which has the exact wording from source.

The FAA that designs charts asserts that the course reversal is required if you are within the sector but not precisely on one of the airways within the sector.

The other FAA that does air traffic sees the sector as one big "no course reversal" arrival sector.

For sake of the discussion the presumption is that ATC is not vectoring the aircraft.

Last year an instrument rating candidate failed an instrument rating flight test because he did the course reversal because he was between airways. A flight standards field inspector sustain the bust even though he works for the department that asserts the policy requires you to be precisely on one of the airways within the arrival sector in order to skip the course reversal.

This is a great example of how the FAA over years of bureaucratic meddling has managed to ratchet up the confusion factor in its system.