No, that's not correct.
A while ago we had (these numbers keep changing as the organisations merge).
207 clinical commissioning groups (CCGs)
135 acute non-specialist trusts (including 84 foundation trusts),
17 acute specialist trusts (including 16 foundation trusts),
54 mental health trusts (including 42 foundation trusts),
35 community providers (11 NHS trusts, 6 foundation trusts, 17 social enterprises and 1 limited company),
10 ambulance trusts (including 5 foundation trusts), and
7,454 GP practices.
The CCGs take money from NHS England and they commission services from local provider organisations. Those organisations don't have to be NHS Trusts (I think it's still law that CCGs are forbidden from having a preference for NHS Trusts).
NHS Trusts and NHS Foundation Trusts are independent organisations. They have their own board of directors and non-executive directors. Foundation Trusts do to, and they have additional responsibilities to their members.
In Gloucestershire we have one CCG, one acute hospitals trust, one trust that covers MH, LD, and community care, we have an ambo trust that covers the south west, and we have a local authority that commissions drug and alcohol services from non-profit orgs, and then a bunch of GP surgeries on top.
This means they all make their own decision on software packages to buy, and a lot of that info is locked up in their system. While there's some commonality in software packages used (eg, lots of use of SystmOne) it's not always easy to get the information from one organisation to another.
If I am diabetic and see me GP's diabetes clinic, and then I am admitted to mental health hospital, it can be hard to get my diabetes clinic notes into my MH hospital notes.
I posted a twitter thread just today about an NHS organisation who employ someone to print out one database, and then to enter that information into another database. Have a read of the twitter thread, because there are a bunch of people who agree. https://news.ycombinator.com/item?id=23426262
Inter-operability is going to be big business in the English NHS for anyone who can crack it.