Your example is about putting God to the test as far as one's temporal (in this life) safety. Unrelated.
Now you finally make an objection that must be considered. Good job.
So, you say Satan's temptation was only pertaining to the physical body, not to the soul.
This of course is an objection only made by someone, who believes what we do with our bodies, has nothing to do with our soul's salvation.
Unconditional eternal security of the soul by faith alone, without works. Which is the old serpent's first doctrine:
Ye shall not surely die by disobeying the Lord...
Also, you condone suicide as a way to go to heaven sooner, since it's 'only' temporal safety, and not salvation of the soul.
For ye are bought with a price: therefore glorify God in your body, and in your spirit, which are God's.
Independent of that, the error in the objection is both context and doctrine of Christ:
The context of the temptations, including with the body, is that of the spiritual things of the heart: Living by the word of God, not tempting the Lord, and not worshipping the devil.
The doctrine pertaining to the temptation of sons willingly casting ourselves down, is falling away into sins:
For if we sin wilfully after that we have received the knowledge of the truth, there remaineth no more sacrifice for sins,
If they shall fall away, to renew them again unto repentance; seeing they crucify to themselves the Son of God afresh, and put him to an open shame.
Wherefore the rather, brethren, give diligence to make your calling and election sure: for if ye do these things, ye shall never fall:
So, you have made one specific objection. I appreciate it. It falls short, but still it provokes me to disprove it by disciplined Bible response.
You see, specific objections are good for the teaching. They either correct the doctrine, or the doctrine is strengthened by refuting the objection. Either way, it's the doctrine that benefits by proving it.
You could have just brought it up at the first to save a bunch of time, but better late than never. So, thanks.