And for you double I types it is probably OK to teach it that way, but I would point out to my students that it is frowned upon by profesional crews and verboten at the airlines.
Here's a news flash - teaching to fly an airplane is always * repeat * always how to fly a
light airplane. An airplane with minimum equipment.
An airplane and environment that teaches the aspiring pilot how to get around in a wide variety of situations with minimum help and equipment.
That's how it has always been and hopefully always will be.
AFTER you get hired by an airline, you should be able to adjust to each company's particular variations on these procedures.
Sure, there are many initial basic habits that you don't need in high-dollar multi-crew aircraft and flight profiles, and you should be able to blend into the various procedures in different situations, but that is not initial flight training, and initial flight training is not training to an airline.
When the FAA certifies you as a pilot, it is in a light single-pilot airplane without an auto-pilot or GPS or other helpful bells and whistles. He is certifying you to fly any ASEL certified by the FAA - including the 'old' ones.
If you understood 'Primacy', you would understand that it is detrimental to teach a primary student to act as if he is an airline captain and fly like the airlines do. It emplants habits which are not good for single-pilot minimum equipment airplanes.