Here's the link: https://www.thetimes.co.uk/article/new-homes-for-tom-hiddleston-and-taylor-swift-dzgvmf8bv

Personally I think Suffolk is more likely, as E Sussex is a long way from both parents (Suffolk and Oxford respectively). Maybe it's an error/mishearing, or maybe deliberate misinformation.

If you want to live near coffee shops and cinemas, East Sussex basically means Brighton, so any home there would also still be very public, and maybe even a bit more so as it is a bit of a small town. He'd have privacy if he goes for a true country pad - but that seems unlikely for a coffee-addicted single man, even with a dog.