I would think not, and here's why...
1) Layer system only uses one lift per day, so you only have room for one SGHP, one press variation, and one squat/dead variation. Considering most have multiple pulls and multiple presses per week, only being able to do three lifts doesn't seem ideal.
2) Layer system hinges on high frequency and with only three session per week...well you get the picture.
Maybe CT will say something different, but these are the two most striking problems that I immediately see.