Turntable lid up or off?


My Pro-Ject Classic turntable came with a dust cover.  I usually spin vinyl with the cover completely removed and never closed.  Does it matter if the cover is just up or fully removed?  The ultimate test is just listening, but I cannot detect a difference between either mode (up or completely off).
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I must admit to being interested in the answer. I never put the dust cover on my TT... currently a Linn LP12. I always thought they would vibrate and that would not be good. So I did a search and quick survey of the literature, virtually every discussion is like this one with 80% spitballing... “this makes sense, or “do your own thing”. Most manufacturers don’t say anything a few do. I would like to hear something from The Absolute Sound or Stereophile. i didn’t find anything right off the bat. I’ll have another look sometime. I have spent thousands of hours comparing cables and components, things that make big differences. Apparently this isn’t’ one of them. At this stage of my life, I think would prefer to enjoy the music versus doing a critical comparison (I was a scientist, so it would take time and effort). I’m going to keep mine off. My records are pristine, and if I see a bit of dust I use Last All Purpose Cleaner and it’s gone.
The ultimate test is just listening, but I cannot detect a difference between either mode (up or completely off).
There you go.

G
I have always taken the cover off.  The rationale is to avoid vibration when closing it or worse case scenario the cover slamming down.
My forced air hvac system creates a LOT of dust, I could never leave a dust cover off when not in use.

UP, to avoid ’trapping’ and ’reflecting’ micro vibrations.

OFF, if possible, for appearance, at least for long listening sessions, I guess I would simply leave the hinged type up for single play, like I used to do with an Audio Technica I had.

In my case, the cover on the big JVC plinth is large, heavy, unattached, it must be removed. Luckily it has notches on the sides to get a good grip on it. And bimps on the plinth to align the front first, then lower without hitting anything. Very important in my situation, I have very small clearances: height and sides of 2 of my 3 arms I squeezed in there.

Notches are an advantage: not needing to reposition your hands. Off, down, lean vertically to defy gravity, back up to TT, no need to walk anywhere.

I put felt pads on the edge resting on the floor, to keep from scuffing it to hell and back, resist sliding, and isolation from floor vibrations.
When I got my SL1200G turntable, I listened both ways, with the cover open or closed using the same record.  After about 10 try’s, I found the open position better and go with that now.