That 'orrible black cap HAS to go and tbh, any polyprop cap of the correct rating will be a dramatic improvement (I've done it with other speakers with the same type of cap - these were in vast use in UK made speakers back then.
As for wiring, I really wouldn't go mad, as the inherant distortions in the drive units, combined with dispersion issues caused by the rebated baffle would mask much of the finer points of fancy silver wires. hey, I'm not being over-critical, just trying to put a little perspective in here..
I can't go on and I can't go back, I don't feel so matter of fact,
I tried and tried to make good sense, What's the good to try it all again?