I am not quite sure what you mean, but as far as I know you can have a control variable pointing directly at the dependent variable in PLS, just as in CB-SEM, if you want to control for the influences of such a variable. If this is not correct, I would very much like to know.
Multi-group analysis on the other hand is helpful if you would like to test if there are systematic differences in all model parameters between pre-defined groups (male-female etc.)
Alternatively, you can use moderating variables to check if a third variable influences the direction and/or strength of the relation between an independent and dependent or variable.
I am not quite sure what you mean, but as far as I know you can have a control variable pointing directly at the dependent variable in PLS, just as in CB-SEM, if you want to control for the influences of such a variable. If this is not correct, I would very much like to know.
Multi-group analysis on the other hand is helpful if you would like to test if there are systematic differences in all model parameters between pre-defined groups (male-female etc.)
Alternatively, you can use moderating variables to check if a third variable influences the direction and/or strength of the relation between an independent and dependent or variable.