So another dim question, should it be one crank rotation for 4 cable turns or the other way around.
Well, I did say crank rotations per cable turn, not cable turns per crank rotation but turning the crank a few times should also have answered your question.
So, for instance, 1000 (crank) RPM would be 250 cable RPM, a 4-1 tacho, if accurate, should, therefore, show a reading of (250 x 4) = 1000 RPM.
Were there other tacho drives that had different ratios and could have been installed.
Edit: I'm not familiar with pre-unit tacho cable drives, so possibly, as there are also 2-1, 6-1, 8-1, (I doubt it would be 3-1?) tachos, but you could answer your own question by checking the crank to cable ratio. Either it is 4-1 or it isn't.
Edit: There are also clockwise and anticlockwise drives/tachos. As your tacho does work it is obviously the correct drive rotation but any replacement tacho needs to have the same drive rotation.