Many thanks to everyone for their valued input.
Is the 'idle air control valve' whereof we speak the offending item below?
It didn't have any visible dirt inside, but also doesn't react to any power applied to the electric terminals, although the gate (valve) can be moved gently with a tool to open or close it - i.e. it's not jammed closed.
I removed it from the system altogether (reconnected the pipes without it) but no change.

I heard from a colleague that the RPM and TDC sensors get magnetised over time and need to be demagnetised? (On checking the RPM sensor I found it to be magnetic.) What do you think?
A cursory look around the air piping seems all is well, but I'm trying to avoid removing a tonne of stuff just to look properly.
