According to the Royal Society for the Prevention of Accidents since 1999 there have been at least 35 fatalities in homes where babies and young children have become accidentally entangled in internal window blind cords and chains.
Some of these accidents have occurred in rented homes, including one in 2019 and one in 2020 where the Coroner wrote to the Secretary of State:
“It is a matter of concern that residential landlords are not currently subject to any obligation to inspect window coverings. In my opinion action should be taken to prevent future deaths.” https://www.thesun.co.uk/news/13777335/son-strangled-blind-cord/
The British Blind and Shutter Association (BBSA) has created specific guidance for residential landlords on what to look for in new blinds and how to make existing blinds safer . Download here: Landlord advice - Make it Safe