A few times you have referenced two wire and three wire plugs.
Are we talking about wall switches that are in an electrical box on the wall or X10 modules plugged into a wall outlet?
Wall switches don't have any plugs on them. They are hard wired into the electrical system.
The power for electronics in the wall switch have to go through the load and are designed for incandescent bulbs only.
AC Line Wire ----- X10 switch ----- Load wire ----- Lights ------ AC Neutral wire.
WS12A WS467 are examples of X10 two wire wall switches.
The plug in X10 modules come in both two and three pin versions.
The ground pin on a three pin one. Just runs from the ground pin on the plug to the ground on the output outlet. It is not used by the X10 electronics. It is a safety ground for the load it controls.
Lamp Modules that dim are also made for incandescent loads but may work with dimmable LEDs as the X10 module does not have to steal power through the load like a two wire X10 wall switch does.
From your description of the brown component across the 220 volt lines. It sounds like a capacitor X10WTI use to say would work to couple the lines together. Yes they worked but frequently failed. They where a very poor choice for coupling. Many failed sometimes with a big BANG. Most where not designed for across AC power line use. I still see capacitors being sold by some independent X10 dealers. Many are not rated tor across AC power line use. We just don't recommend them
A much better choice is an X10Pro XPCP.
https://www.x10.com/x10-home-automation/specialty-devices/couplers-repeaters/xpcp-ratio-passive-coupler.htmlYou can find them on some independent automation sales sites as well as the X10 site.
The signal blasting JV Digital Engineering XTB-IIR. Is the gold standard coupler. I have one of them myself as do many other here.
http://jvde.us/xtb-iir.htmThings can deteriorate after years of use. So it maybe possible your HID lights are starting to age and changed from when installed.