Pretty good instrument the Wico A. It should feel sort of 'lumpy' to turn over with max resistance felt just before the points open. If it hasn't been 'got at' probably 75 % of trouble on these mags turns out to be no more than mucky or corroded points. If they are really corroded (covered with a sort of white fluff) they will have to be removed and rubbed clean on a sharpening stone or similar, but first try nipping a small piece of stout writing paper between the points and wiggling about a bit. Repeat 'till the paper comes out clean.
If still no luck primary and secondary windings can be tested for continuity with an AVO meter, I can't really remember what the resistance of each should be, but probably a few tens of ohms for the primary and a few K for the secondary.
Yes the condenser can be unreliable (our resident expert on such things, Arthur Griffin claims never to have found a good one) but this usually results in a weak spark rather than none at all.
Good luck!
Ps. What's the engine