......Maybe Hall Sender, but I don't know that that would affect the tach. Whatever it is, it definitely sounds like ignition system.
A missing Hall signal will certainly affect the tach, I'm 100% on that.
Further, that the tach is affected narrows the issue down to the ignition primary, that's the low voltage side of things, not the high voltage sparky stuff.
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My first guess based on reported symptoms is a broken wire to the Hall generator inside the distributor.
Normally, as part throttle vacuum is applied to the vacuum advance diaphragm , part of the Hall generator plate rotates relative to the distributor housing and plug, wires internal in the distributor flex as this happens.
What my guess is, is that that normal wire flexing opens the break in the wire(s).
Randomly, some such breaks are repairable, other cases require replacement of the Hall generator assembly.
Here's a link to GAP's Hall generator listing, note the "square plug" comment, there are at least two plug versions, the plug may need to be changed as well to match.
http://www.germanautoparts.com/Volkswagen/Cabriolet/EngineElectrical/45/1
A quick, easy and free test of my guess is to remove the vacuum hose from the vacuum advance unit on the distributor, plug the open hose with a golf tee, pencil, sheet metal screw or what ever suitable you have on hand, go for a drive.
Power and throttle response should be noticeably reduced with the vacuum advance disabled, the centrifugal advance (if working properly) should keep the car reasonably drivable.
With the vacuum advance disabled, there will no longer be any rotation of the Hall generator relative to the distributor housing and plug, therefore no wire flexing to open the break, if my guess is correct, your cutting out and tach dropping symptoms will cease while being replaced with new symptoms of reduced power and throttle response.
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A slightly more involved test, still easy and almost free, involves a length of vacuum hose and a vacuum source, the vacuum source being you.
Connect a couple foot long length of vacuum hose the the distributor's vacuum advance port, idle the car, suck on the open end of the hose. Sucking the hose will rotate the Hall generator relative to it's plug, if the car's issue is a broken wire, the engine will quit (randomly) as you apply your vacuum.
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