Wrong coil should only be too strong or too weak. Not intermittent.
I think your problem may be the cabinet buttons. They are high-current tungsten contacts that can get pitted. The end-of-stroke switches as well.
Try filing them with a contact file. Brush away or vacuum the particles.
If it still has problems, unsolder one of the capacitor legs. It may have caps on the coil EOS and the flipper cabinet switches.
Let us know how it turns out.