Yes but as stated earlier just because they are a cpl holder, it does not mean they are more experienced, espically when it comes to light aircraft flying. I get the opinion many cpl holders often think they are better than ppl holders, but i think this is plain wrong.
As said before, a new cpl holder is no way as experienced as someone who has been flying for 30 years but still only holds a ppl. I dont think the attitude of a lot of cpl holders thinking they automatically become captain just because their licence is 'better' than a ppl holder.