Interestingly, upon reviewing some Freedom of Information requests, I found a request submitted by a third party RE the prisoner banking programme last year. Here's some figures from the programme, which would tend to suggest that actually there is quite a high take-up, certainly more than I expected:
Between January and December 2023 there were 12,383 applications submitted to banks and 9,731 bank accounts opened.
Between January and December 2024 there were 12,545 applications submitted to banks and 10,078 bank accounts were opened.
Between January and-December 2024 there were 23,999 ID applications and 22,198 IDs provided.
Between January and December 2023 there were 18,714 ID applications.
The MoJ does not hold any information in the scope of your request with regard to the number of ID’s provided in 2023. This is because this data was not collected prior to 2024.