Choppi, if you are asking if the red arrow in the photo is pointing to the breather screen, yes, that is the breather screen.

I don’t think that is your problem but you might get lucky.  It’s easy to fix.  In my opinion, if the screen were missing, the smoke would get worse as engine speed increased and your air box would be fouled with oil.

Your problem as described leads me to believe you have a leak path that allows oil to accumulate in one of the ports when the engine is not running.  That points to valve guides, valve guide seals, or some sort of defect in the head (crack, valve guide fit, etc.).

Please let us know what you find.  Good luck.

Okay, so, blows a bit of smoke.. Meh,,if it runs okay, just ride it. Don't tear into it for that. So you need to add oil every so often,, not a crisis.