Yes, I can see that, as he was the legitimate heir. They knew nothing of his personal qualities, and only of the place he held within the dynasty, as the one person with Romanov blood in his veins to carry on the dynasty, much as his father had once been. He was also more astute than his father, he didn't give the impression of being such a fool, and that was important if you wanted support. Catherine did try to keep him the background you are right, she just wanted him to support her reign,while he must have been okay with waiting.Maybe he knew it was dangerious to alienate his mother, as well. Peter was extremely complex in some ways, simple in others, and Paul was as well.