Visible component for an archived project

For me, when someone archives a project (because it isn't used)  all project dependencies should be hidden (streams, components, ..).

My case is as follows:
The project in question is no longer used so I archive it (I don't see the point of removing all streams of a project that I no longer use).
I create a new project with streams, components, ...
When I create my repository workspace I see streams of archived project. For me it makes sense to see only the active streams.
The streams of a project should be visibile only when they are used in the local context.

What happening if I use a stream of an archived project? Will it updated?

A stream in an archived project area can be used and updated just like any other stream. Archiving a project area, or anything else, does not make it read-only or inaccessible.  Archiving just makes something less visible in the UI.