Both lights had halogen lamps fitted, the first was 50W GU10's and the second was a style I'd never seen before. According to the homeowner both needed replaced often. You could replace the GU10 without touching the body of the light but I would think you would hold it whilst twisting the lamp.
I had an electrician in a few weeks ago installing new circuits for a kitchen install. I'll recommend they have an EICR carried out for the rest of the property
I should tell them about live cables being connected to metal work - you never know, they may just miss this during the EICR - unfortunately...