What can cause the rectifier to go bad? Because this one is about a week old. It is a Evinrude/Johnson brand. Are there any better brands?
A short circuit could cause to to fail but very unlikely.
Easiest is to disconnect the rectifiers yellow wires, thus leaving the tach as the only user of the charging coils you do not need charging for the tach.
But, you could start by checking that the tacho receives 12V all the time via the purple line from the Johnson Control Center, also use the ground signal as the reference from the control center.
The best way to test cables harness is using a proper load so a few amps goes thru the wires. Take a 12V ~20W light bulb to load the purple wire and black ground from the control center when the ignition is on, that would draw about 2A so if the wires are bad you will see that then.
BTW, could it be overvoltage caused by a bad battery since it happends at high RPM?
Measure the 12V at 4000+ RPM and also try loading the 12V battery when running at high RPM.
A last idea, the tacho wire from the engine could be bad due to salt corrosion, I have replaced a few of the harness wires for that reason!!