Lease is pretty similar to rent in my mind — you're getting a product for either a fixed period or for as long as you keep making regular payments, neither of which applies here.
In many places, ground/land is leased that way, where you pay a sum up-front and are allowed full ownership for 99 years or something like that.
Typically, as a practical matter, the license ends with your death. You can't pass your kindle ebooks and steam games as inheritance like you can with physical books and game discs.
In any event you are within both your moral and legal rights, in the USA at least, to backup any software you have purchased and you should do so if you care about it.
And nobody is going to be able to stop you from leaving those backups to your kids.
It is interesting though how the software business has managed to, via the courts, meme software licenses into existence. The simple fact is that under written US law no license is required to run software you have acquired a lawful copy of. The law explicitly gives you the right to make additional copies as necessary to execute the program. Case law of course is another matter. And lawfare is another matter on top of that. Who wants to spend the rest of their life being sued by Adobe because they want to sell a copy of photoshop they no longer use?