In either case the base current passes through regulator. If it is adjustable you adjust the output for the desired voltage. It does not have to be the output voltage of the regulator. In a set voltage design where the desired voltage is the output of the regulator putting the transistor at the input is the right design.Don't use the external pass transistor configuration as shown in post #10. It impacts load regulation because the base-emitter voltage of the pass transistor isn't in the feedback loop. It always puzzles me why someone would do that.
If he wants 30 or 35 volts there is no LM7830 or LM7835, is there? So an adjustable design is called for.