When I was in Oxford last month, I had the pleasure of having lunch with April Peake, the new philosophy editor at OUP (replacing Peter Momtchiloff) and Luciana O'Flaherty, executive editor of humanities, and I mentioned that there seemed to be a lot of confusion about whether OUP would provide hard copies of books to reviewers.   April put me in touch with Katie Hellier, senior marketing manager for humanities at OUP, who kindly shared this explanation of the OUP policy:

Whilst we operate a 'digital first, print on request' reviews copy policy, nobody should be refused a print copy of a book for review if the format has been specifically requested and can be supplied sustainably to the recipient. Sometimes reviewers may be offered a digital copy if a book is not available in a particular location (we are currently dealing with 3 months+ shipping times between the UK and US and vice versa) or if the book is out of stock for another reason.

Several years ago we stopped sending out speculative review copies of each book we publish, we now operate a monthly email newsletter in all major subject areas and reviews editors can request copies by return. We found that the amount of waste from sending out speculative copies was phenomenal, particularly when for at least a third of journals we weren't even sure if the books were being shipped to the correct address. Much more detailed information can be found here on our author pages: https://academic.oup.com/pages/for-authors/promotion-and-discoverability/discoverability-and-digital-marketing/academic-reviews-and-awards