Fords doesn't use true oil pressure senders, they are switches so don't give you a true oil "pressure".
Normally I would say replace the sender but.........
The lifter taps(noise) tells you there is a real pressure problem so it is not a sender/gauge issue.
The oil pump pushes a volume out, the resistance/restriction at the bearings create the back pressure in the system, that is what is being measured, back pressure, as an engine gets older the bearings wear and resistance/pressure goes down, but not to 0.
Oil pressure low enough to cause the valve train to make noise means only 2psi or less at idle.
You can remove the sender and put on a real oil pressure gauge to test what is really going on, see what the real pressure is at different RPMs.
Might help diagnose the problem.
Most engine oiling systems pick up the oil in the pan via the oil pump, it then goes to the oil filter, then to the oil passages, the oil sender is just after the filter, that's where the pressure is measured.
If you had a blockage in passages sender pressure would go up because of where it is.
A larger hole(bearing gap) in the system would make pressure go down.
If running a thicker oil helped then it is probably not an oil pump issue, i.e. a volume issue.
If passages were dirty pressure would tend to get higher not lower, restriction is what cause the pressure.
Marvel mystery oil additive is OK to use, but I doubt it would solve this issue, worth a shot.
Regular ATF is a high detergent oil so is OK as well, 1/2 quart is usual, many people add 1/2 quart of ATF after each oil change.
Some put in a quart and run engine a few days and then change the oil.