Perhaps a little less bluntly that Fran, but yes, play the full chord.

As much effort as you have taken to remember these non-musical shortcuts, if applied to simply learning the full chord in the first place would result in you not even NEEDING this limited system.

Got your pinky on Bb, got your thumb on G? Easy play gives you ONE choice.

Put your index finger on Eb, you got and Eb chord. Put your third finger on D, you got a Gmin. Add one more finger, you can, without moving the pinky and thumb, get Bb6, Cmin7, Bbdim, Ebmaj7 and a host of other chords.

Less jumping about to hit different notes ONE way. More keeping your LH steady, and having a host of choices with minimal movement. Easy Play chords are a dead end street, that once you go down, you will have to UNLEARN to progress further.

The same amount of effort to master (especially as you are now acknowledging the existence of more complicated chords than simple maj and min), spent on learning normal chord voicing will take you MUCH further down the path towards musical fluency.

And once you learn the HOW of a chord, it's a small step to the WHY of it... And then, that's when the fun REALLY starts!