At the moment the JupyterLab shows the Jupyter logo, and the Notebook demo shows the Python logo.

This was briefly mentioned at the weekly JupyterLab meeting last week (jupyterlab/frontends-team-compass#135 (comment))
Maybe we should update the logos to the following?
JupyterLab
This one doesn't seem to be official, but is used for the GitHub organization:

or

Jupyter Notebook

or

Here is what it could look like:

cc @afshin who brought that point