When a Quote task is assigned withing the Wordserver environment, the assignment information is sent to the Project tab, and treated as Project task in the Home, see the message below:

 You have [number of projects] assigned to you, containing a total of [number of tasks] tasks.

As you click on the related hyperlink [number of projects], you're prompted to the list of project. I estimate this behaviour would be higlhy confusing, especially for Customer users\accounts which are not supposed to understand why a task is considered a Project while they are only expecting to do something with Quotes. I think a clear distinction between the two objects must be preserved. Meaning that when a quote task is assigned, the assegnee must be led to Quotes, not to Projects.

Best, Matteo