This is a bit strange. But treat the TransformedProcess as a continuous process. The documentation for RandomFunction says that a continuous process needs a step size:
RandomFunction[Ppoisson2, {0, 10, 0.1}]
The problem is, once a process has been transformed, it's not exactly clear if it is a continuous process or not. It's basically treated as a continuous process.
Also, when posting, please try to post a small code example instead of a picture. It makes it easier to try to look and play around with the problem.
