This is true. In the very long term entropy wins, but over the medium distance there are all sorts of things that life can do.
We could argue whether nature finds it worthwhile fixing us up when we get old. Is it easier to scrap, and buy new? Can our immune system go on re-training itself forever? I could have argued like that, but I didn’t like the way it personified ‘nature’ as an intelligent designer.
The body might actively run itself down at some point; the telomeres do seem to be counting down to something. But complex systems like my last car can just seem to give up on life, without any planned exit strategy. I suspect technology may be keep our shells going like the Struldbrugs in ‘Gulliver’s Travels’, but with exponential costs as we progressively pack up.