[RPG] Do you die on another plane if you reached that plane via Astral Projection

Inspired by this question.

I'm not sure that I understand how the Astral Projection spell works. The description states the following:

You and up to eight willing creatures within range project your astral bodies into the Astral Plane (the spell fails and the casting is wasted if you are already on that plane). The material body you leave behind is unconscious and in a state of suspended animation; it doesn’t need food or air and doesn’t age.

Your astral body resembles your mortal form in almost every way, replicating your game statistics and possessions. The principal difference is the addition of a silvery cord that extends from between your shoulder blades and trails behind you, fading to invisibility after 1 foot. This cord is your tether to your material body. As long as the tether remains intact, you can find your way home. If the cord is cut—something that can happen only when an effect specifically states that it does—your soul and body are separated, killing you instantly.

Your astral form can freely travel through the Astral Plane and can pass through portals there leading to any other plane. If you enter a new plane or return to the plane you were on when casting this spell, your body and possessions are transported along the silver cord, allowing you to re-enter your body as you enter the new plane. Your astral form is a separate incarnation. Any damage or other effects that apply to it have no effect on your physical body, nor do they persist when you return to it.

The spell ends for you and your companions when you use your action to dismiss it. When the spell ends, the affected creature returns to its physical body, and it awakens. The spell might also end early for you or one of your companions. A successful dispel magic spell used against an astral or physical body ends the spell for that creature. If a creature’s original body or its astral form drops to 0 hit points, the spell ends for that creature. If the spell ends and the silver cord is intact, the cord pulls the creature’s astral form back to its body, ending its state of suspended animation.

If you are returned to your body prematurely, your companions remain in their astral forms and must find their own way back to their bodies, usually by dropping to 0 hit points.

My specific point of confusion, I think, centers around the difference between the terms 'astral form', 'original body', and 'physical body'. Their intent is not clear to me as the spell is written.

My interpretation of the spell is that it permits you to travel the astral plane to locate other planes of existence in an astral form, which essentially your soul and mind. You leave behind your physical body with a silver cord tethering it to your astral form.

If you drop to 0 hit points during astral travel, you are safe because your astral form can follow the silver cord to rejoin with your physical body and thus not suffer significant consequences from failed exploration. Upon finding a portal to another plane, you can enter it and your physical body is pulled along the silver cord to rejoin with your astral form (i.e. mind) and thereby allowing you to explore that plane.

Is this combined form your physical body, astral form, or something else?

Is this interpretation correct? Other answers suggest that you can travel to other planes in a manner similar to summoned creatures and thus avoid some of the dangers of death by virtue of having an automatic retreat to your physical body, however, this doesn't make sense if your physical body is pulled along the cord to rejoin with your astral form. The spell states that the cord is between your physical body and astral form, I would think that once your body was pulled along the cord, the cord would effectively not exist.

I think my interpretation may not be as generous as others especially given that this is a 9th level spell, but I had based it upon the notion that the Astral Plane was a different and more unusual plane than others, which required special consideration to navigate in a 'safe' manner.