I have given a lot of thought recently to the concepts of life and death. What they mean and what free will means. I have some interesting ideas floating around in my head that may or may not be relevant.
To the point of your question, which is valid, what Jesus gave up was a life with endless possibilities. A life with meaning and experiences unique to itself. Jesus was the only perfect man on earth. There is no indication he would have died of "natural" causes. Had he steered clear of the ruling powers, might he still be alive today? With his wisdom and knowledge, what could he be today? We will not know because he gave all of that up.
Jesus' life was different from the angels that materialized bodies prior to the flood. They were engaged in some sort of experience while on earth but their experience differed in that they were not natural-born humans. They weren't actual flesh and blood. They created biological automatons and imbued them with procreative genetic garbage that resulted in the Nephilim (and possibly human-animal hybrids). They were not birthed from a human woman as Jesus was. So the experience was not the same. Also, they returned to the spirit realm under their own power. Jesus had to rely completely on Jehovah's ability to restore him to his spirit-self with everything exactly as it was before. That was part of the journey.
So the sacrifice is not the automobile in your illustration, it's the journey. His journey continues but elsewhere, with a different destination, and likely with less freedom.
Which brings me to the concept of free will that I have been pondering. When I consider what the fallen angels have given up, I think, "why?" The answer is, free will. They could not possibly believe that the outcome of their disobedience will result in anything other than eternal destruction. It is basically "suicide by God" (sort of like the phrase "suicide by cop"). They were basically done living whatever their life was before. Whatever tasks they were given or would ever have. They were done. So why not go out with a bang? One last big hurrah to end it all. Whatever they want to do until the ride stops and they're dead.
Where I think this concept becomes interesting is with Jesus and the 144,000. They are basically giving up the option of "suicide by God". They will never die. Period. So whatever assignments they receive for all eternity it will be their duty to perform. No exceptions. No "punching out". Basically, a sort of slavery from a certain perspective.
Please don't misunderstand. I would assume whatever role and assignment they get will be amazing, fulfilling, and awesome. However, I would also expect that to be true of the angels. Yet here we are. They decided to punch out via suicide by God. Both angels and humans will always have the option to disobey God and end their life. Anytime and for any dumb reason, just like Adam and Eve, we can punch out.
So what does all of the above mean? Paradise is no guarantee of happiness. The angels dwell in the presence of God and yet decided they were done with their journey. No chemical imbalance could explain it away. No inherited imperfection. They simply chose to use their free will to end it all. There will be a large number of people at the end of the thousand years that will also choose suicide by God (Revelation 20:8). I have no idea why but they will. Despite living in what will be a physical paradise by then, they will have no desire to live it any longer.
I guess Solomon really nailed it in Ecclesiastes 2. Enjoy the moments we have now because of our hard work and friendships. Love others and help make their journey in life awesome. Learn to love Jehovah and explore his majesty. If we focus only on ourselves and what we want, well, suicide by God is always a plan B.