Ok, here's what I'm going to propose. You cast all of your learning aside from mainstream, just for now and think of what I say. This isn't a dig - it's just so you can see my side and allow yourself to understand everything I'm about to tell you in a no frills basic manner.
Now there is no such thing as suction. There is no pull and nothing sucks. Can you accept this for the minute before I explain what's happening with the scenario I put to you?
I'm happy to: currently I'm only interested in understanding what you propose at how it matches what we see.
Ok, think deeply about what I'm about to tell you.
The bell jar sat on it's base is in an equal environment of pressure, inside and outside.
The only repelling of that is the actual glass bell jar itself. Basically the overall thickness of it which is resisting pressure from outside and also inside. Basically equal pressure pushing on each side of the glass.
I know you understand this so don't think I'm trying to be funny with this. I just feel it's better to add it all in.
Ok, now if you pick that bell jar up, you feel that weight or you feel it's density/mass and anyone can assume it's gravity pulling it down by text book. You can't because your text books do not exist for now.
Now because we pick that bell jar up, we are only picking it up under equal pressure inside of it and outside, except we change that by pushing it into the atmosphere and compressing it from the deck, so instead of the base holding that pressure, it's transferred to your arm and hand and shoulder all the way to your feet.
Ok, so now we place the bell jar back down on the base and evacuate air from it. We push air out of it, not suck.
The air that the bell jar was holding in equal part as outside has now changed balance.
The air inside is now pushed into the atmosphere and compressed that amount of evacuated air back
onto the bell jar, clamping it to the base.
You changed the balance only by the air you evacuated and that is all that is exerting pressure against that jar, which is a lot considering what it was equalised with for it's size in psi.
This tells you that the atmosphere is literally clamping down on it so much that a pump cannot gain enough strength to push any more air into the atmosphere. If you were to get a bigger, stronger pump, then you can push a little more out - but - you would find that the bell jar would implode due to the enormous outside pressure upon that jar with very little inside pressure to resist it due to you adding it to the outside.
Now bearing this in mind, it's easy to see that atmospheric pressure plays it's full part in keeping a mass on the ground by that mass displacing it's own density against that pressure.
The thing is, we can't clamp ourselves to the deck with any more pressure than what is upon us because we would have to expel air. Now we could do this by blowing as hard as we could to expel it from our lungs but your own mind would not understand what's happening as regards adding to the pressure outside - but if you think about it and do it right now, you will feel heavier and in discomfort.
That's because that little air you added to the atmosphere has just added a small crush against you, just like when you take a deep breath and expand your chest. You feel like your head is going to pop because the atmosphere is crushing you back to equalise the pressure and can't until you release it.
Ok so how do we now tell that there's no other magical force in play that could be pulling stuff down instead of pushing?
The easiest way to know this is to remember the simple experiment I gave a little while ago with the glass and playing card.
Fill the glass nearly full and place the card over it then tip it upside down. The card stays on the glass of water.
Now people think air pressure holds it back but don't understand why. Because, as we know, water is more dense than air and can overcome it by air rushing into the glass to push it out if there wasn't a card covering that glass. So how does the water stay in?
The answer is in the atmospheric pressure difference inside the glass itself. That small pocket of air that is trapped in the upturned glass is against the glass bottom and the atmospheric pressure cannot push down on it due to the glass bottom creating a barrier.
It can't get in at the other end because the card creates a barrier and the atmospheric pressure clamps the card to the rim of the glass.
The very small pocket of air is no match for the larger atmospheric air outside pushing in, so the card stays clamped until the card is removed.
Now the amount of water in the glass is no match for the atmospheric pressure pushing up against it because it doesn't have the aid of very much pushing it back against it. It's just too low a pressure.
The force that keeps everything on Earth as we see it and perceive it, is atmospheric pressure upon any dense object. That pressure is denpressure.