Since I started learning on an organ, I was taught specific inversions (not all inversions), that were easily reached with little hand movement. Nowadays, they called them "Pad" sounds. So:
Gmaj wud b played in root postion.
Cmaj wud b played in 2nd inversion.
Amin wud b played in root postion.
Fmaj wud b played in 1st inversion. etc.
This method accommadates playing on an arranger very well (multi mode). I can play most chords without looking at my left hand.
Star