Forgive me (and educate me please) if I use incorrect terms here:

I notice that the barrel is off center in the front of slide and is pressed tightly against the slide there. Here's a picture showing a very thin strip of parchment paper pinched between the slide and barrel so tightly you cannot pull the paper out. Is this by design that the barrel should contact the slide when in battery? Or should there be a gap all the way around so the barrel is not touching there? EDIT: see my second post in reply to this first one - duh - of course it looks off center - How did I miss that earlier?

Here I took a picture of my barrel and drew up my understanding of how the barrel returns to battery. Hoping one of you gunsmith experts will set me straight here. I'm just confused about whether the barrel is supposed be pressing against the slide as mine is in the above picture with the paper pinched tightly as shown. Or should the barrel only be supported at the points I numbered 1-4 and not be touching at 5?

OR have I got it all wrong and the idea is the muzzle is captured at #5 so call that the fulcrum and #1&4 push up until it hits #2 and can't go up any further and the points of contact that define the angle of the barrel in battery are #5 #2 and #1?