Inhibitor will only protect the primary water. The TMV handles secondary water. For protection here you need a scale inhibitor, which many feel does nothing, but not fitting one invalidates any guarantee on affected parts. An electrolytic one fitted to the incoming mains should help, or an electronic/electrolytic one if feeling flush.
Just a thought, this boiler has a Ch pump and a DHW pump. Have you checked the operation of the DHW pump? Failure here gives exactly the problem you have.
All the merchants market their own, if I suggest, it will be moderated out probably, ask at your local counter, or Salamander or Liff is a start.
To check the pump, usually you can feel it working, but if you run the HW till it starts to go cold, check the flow temp of the pump outlet and see if that has gone cool. You can also turn the speed up and down and note the change in note.
With oil on the way out and prices rising daily why not consider an alternative fuel source?
d!
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