Problem with user access rights

All projects show the lock icon.

It means the user has not right to plan this project : either the project is locked or user has no right to update the project.

I'm not sure whether it's a related bug or by design, but even from projects to which he has no allocation at all, he can still see any activities even from sub-projects. I've also attached a screenshot of the structure.

Access rights are inherited. So when user has right on project, he gets same rights on all sub-projects (except if changed by allocation with different profile)

Poelstra wrote: I noticed another thing that's probably related:
My projects menu (the top) shows like this:

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His projects menu (the top) shows like this:

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Which is understandable as he has nothing to do with the templates.
But his project's view shows only this:

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So, there is only a project he is not part of, and doesn't show the projects he's allocated to...

This is not clear.
Could you show print screen ?

This last described behavior is normal :

He has no allocation to template : so he cannot work on items of this project, and so cannot select project in project selector.
But he has some project leader acces : so he sees template projects in project list, to be able to copy these projects (that's what "tempate" project type stands for)

NB : you must remind that the project selector is used to select a projet to work with, so you have access to list of projects you can work with (for instance manage tickets or activities) and has no link to projects you can see (team members will no see project screen but can work on its items)

It doesn't explain why the projects he's a leader of do not show in this list.

What is the type of this project ?
(take care about Administrative and Template)