It's a bit obscure as to how you do it, but yes, you can disable location history on an Android phone (
which is what they use for pushing advertising). I have disabled it on mine.
Even if disabled nothing stops the authorities tracking you via "cell locate" on any mobile, even yours, in any case. They can if they wish get a quite accurate position based on 3 cell towers your phone can see. So if this is of concern to you you should get rid of even your basic phone, and
probably not drive a car either due to ANPR.
And I'd advise declining the 60+ Oyster, for that matter, and paying cash only. They can track that as you tap in and out too!
(Or maybe be a little less paranoid

)
But as regards e-tickets, a paper ticket can actually be an e-ticket. I don't think the railway is likely to go to mobile phone based ticketing only. You would be able to buy and print one yourself from your computer, or a TVM will probably print one for you too, it just will have a barcode and not a magstripe.
The thing I wouldn't be surprised to see is them stopping taking cash within 10-20 years, but we shall see. Provided you have a debit card, no problem there really.