My 2c is horses for courses. People/companies are just starting to collect data on usable tyre life and the usual FUD merchants are passing off their farts as knowledge.
If you're hammering rough roads, then the fresher, the tyre, the more flexibility to meet the various surface variations. If your just dragging a trailer of stuff back from the HW and take it easy, then shrug, as you won't be too worried if the tyre collapses at low speed.
The problem with caravans, trailers etc would be that sitting on the tyre for year deforms them into an unrounded natural state and that may induce increasing instability at certain speeds. If you're worried, store them on jacks between uses.
Oh, Tyres did come from rubber from trees originally, but I'll think you find that most of them are mostly if not all petroleum based.