What you must learn in basic flying training are the BASIC SKILLS.
It is critical that you are well taught,, and learn how to select the required attitude and TRIM.
These are the fundamental skills that any pilot must acquire, and even more importantly for an aspirating professional pilot.
The PA28 is one of the ideal aircraft to develop these basic skills, for both visual and instrument flying. Yes somewhat dated, but the 6 round dials teach you the fundamentals of IF. It develops your capacity and situational awareness.
Once the basics have been mastered, then flying something more exotic is a piece of cake.
There are no short cuts, no instant fixes. The analogy is the process of OSMOSIS.
So having completed the CPL / IR skill tests, then a full glass cockpit for the MCC/JOC / APS is good preparation from the TYPE rating course.