You must do an oil pressure test prior to tearing the engine down not after it has been opened up. Has this mechanic ever opened up a Rover engine, what will he be looking for and how much is he charging you to tear it down?
I am only asking because so far you have been doing all your work some what out of order or guidance as to what to look for.
He's opened up rover engines before, he's going to look at the lifters and the valve train to determine the source of the tapping. He thinks it's an issue with the lifters but I trust he knows what he's doing.
There are no rover service centers within an hour and a half of where I live, so I'm relying on someone who has worked with many LR's in the past. Regardless of your approval he is the best that I can work with